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Finding the Fourth Proportional to 2,024.79, 3,032.28 and 1,156.47

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Solution

The fourth proportional to 2,024.79, 3,032.28 and 1,156.47 is: 1,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.79 : 3,032.28 = 1,156.47 : x
  2. Step 2: Convert to fraction form
    2,024.79/3,032.28 = 1,156.47/x
  3. Step 3: Cross multiply
    2,024.79x = 3,032.28 × 1,156.47
  4. Step 4: Simplify right side
    2,024.79x = 3,506,740.85
  5. Step 5: Solve for x
    x = 3,506,740.85/2,024.79
  6. Step 6: Final answer
    x = 1,731.90

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