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Finding the Fourth Proportional to 2,897.96, 4,347.04 and 1,049.12

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Solution

The fourth proportional to 2,897.96, 4,347.04 and 1,049.12 is: 1,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.96 : 4,347.04 = 1,049.12 : x
  2. Step 2: Convert to fraction form
    2,897.96/4,347.04 = 1,049.12/x
  3. Step 3: Cross multiply
    2,897.96x = 4,347.04 × 1,049.12
  4. Step 4: Simplify right side
    2,897.96x = 4,560,566.60
  5. Step 5: Solve for x
    x = 4,560,566.60/2,897.96
  6. Step 6: Final answer
    x = 1,573.72

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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.