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Finding the Fourth Proportional to 2,499.81, 3,750.02 and 1,038.17

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Solution

The fourth proportional to 2,499.81, 3,750.02 and 1,038.17 is: 1,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.81 : 3,750.02 = 1,038.17 : x
  2. Step 2: Convert to fraction form
    2,499.81/3,750.02 = 1,038.17/x
  3. Step 3: Cross multiply
    2,499.81x = 3,750.02 × 1,038.17
  4. Step 4: Simplify right side
    2,499.81x = 3,893,158.26
  5. Step 5: Solve for x
    x = 3,893,158.26/2,499.81
  6. Step 6: Final answer
    x = 1,557.38

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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.