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Finding the Fourth Proportional to 2,428.91, 3,643.21 and 785.32

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Solution

The fourth proportional to 2,428.91, 3,643.21 and 785.32 is: 1,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.91 : 3,643.21 = 785.32 : x
  2. Step 2: Convert to fraction form
    2,428.91/3,643.21 = 785.32/x
  3. Step 3: Cross multiply
    2,428.91x = 3,643.21 × 785.32
  4. Step 4: Simplify right side
    2,428.91x = 2,861,077.55
  5. Step 5: Solve for x
    x = 2,861,077.55/2,428.91
  6. Step 6: Final answer
    x = 1,177.93

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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.