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Finding the Fourth Proportional to 3,494.76, 5,237.68 and 1,641.80

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Solution

The fourth proportional to 3,494.76, 5,237.68 and 1,641.80 is: 2,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.76 : 5,237.68 = 1,641.80 : x
  2. Step 2: Convert to fraction form
    3,494.76/5,237.68 = 1,641.80/x
  3. Step 3: Cross multiply
    3,494.76x = 5,237.68 × 1,641.80
  4. Step 4: Simplify right side
    3,494.76x = 8,599,223.02
  5. Step 5: Solve for x
    x = 8,599,223.02/3,494.76
  6. Step 6: Final answer
    x = 2,460.60

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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.