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Finding the Fourth Proportional to 2,379.53, 3,569.45 and 648.16

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Solution

The fourth proportional to 2,379.53, 3,569.45 and 648.16 is: 972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.53 : 3,569.45 = 648.16 : x
  2. Step 2: Convert to fraction form
    2,379.53/3,569.45 = 648.16/x
  3. Step 3: Cross multiply
    2,379.53x = 3,569.45 × 648.16
  4. Step 4: Simplify right side
    2,379.53x = 2,313,574.71
  5. Step 5: Solve for x
    x = 2,313,574.71/2,379.53
  6. Step 6: Final answer
    x = 972.28

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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.