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Finding the Fourth Proportional to 2,897.60, 4,347.02 and 1,166.22

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Solution

The fourth proportional to 2,897.60, 4,347.02 and 1,166.22 is: 1,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.60 : 4,347.02 = 1,166.22 : x
  2. Step 2: Convert to fraction form
    2,897.60/4,347.02 = 1,166.22/x
  3. Step 3: Cross multiply
    2,897.60x = 4,347.02 × 1,166.22
  4. Step 4: Simplify right side
    2,897.60x = 5,069,586.70
  5. Step 5: Solve for x
    x = 5,069,586.70/2,897.60
  6. Step 6: Final answer
    x = 1,749.58

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.