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Finding the Fourth Proportional to 2,037.13, 3,055.69 and 498.13

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Solution

The fourth proportional to 2,037.13, 3,055.69 and 498.13 is: 747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.13 : 3,055.69 = 498.13 : x
  2. Step 2: Convert to fraction form
    2,037.13/3,055.69 = 498.13/x
  3. Step 3: Cross multiply
    2,037.13x = 3,055.69 × 498.13
  4. Step 4: Simplify right side
    2,037.13x = 1,522,130.86
  5. Step 5: Solve for x
    x = 1,522,130.86/2,037.13
  6. Step 6: Final answer
    x = 747.19

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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.