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Finding the Fourth Proportional to 1,411.92, 2,117.16 and 578.70

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Solution

The fourth proportional to 1,411.92, 2,117.16 and 578.70 is: 867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.92 : 2,117.16 = 578.70 : x
  2. Step 2: Convert to fraction form
    1,411.92/2,117.16 = 578.70/x
  3. Step 3: Cross multiply
    1,411.92x = 2,117.16 × 578.70
  4. Step 4: Simplify right side
    1,411.92x = 1,225,200.49
  5. Step 5: Solve for x
    x = 1,225,200.49/1,411.92
  6. Step 6: Final answer
    x = 867.75

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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.