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Finding the Fourth Proportional to 2,428.97, 3,642.68 and 1,041.93

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Solution

The fourth proportional to 2,428.97, 3,642.68 and 1,041.93 is: 1,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.97 : 3,642.68 = 1,041.93 : x
  2. Step 2: Convert to fraction form
    2,428.97/3,642.68 = 1,041.93/x
  3. Step 3: Cross multiply
    2,428.97x = 3,642.68 × 1,041.93
  4. Step 4: Simplify right side
    2,428.97x = 3,795,432.61
  5. Step 5: Solve for x
    x = 3,795,432.61/2,428.97
  6. Step 6: Final answer
    x = 1,562.57

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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.