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Finding the Fourth Proportional to 2,417.27, 3,626.45 and 956.57

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Solution

The fourth proportional to 2,417.27, 3,626.45 and 956.57 is: 1,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.27 : 3,626.45 = 956.57 : x
  2. Step 2: Convert to fraction form
    2,417.27/3,626.45 = 956.57/x
  3. Step 3: Cross multiply
    2,417.27x = 3,626.45 × 956.57
  4. Step 4: Simplify right side
    2,417.27x = 3,468,948.49
  5. Step 5: Solve for x
    x = 3,468,948.49/2,417.27
  6. Step 6: Final answer
    x = 1,435.07

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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.