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Finding the Fourth Proportional to 1,411.12, 2,115.06 and 717.40

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Solution

The fourth proportional to 1,411.12, 2,115.06 and 717.40 is: 1,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.12 : 2,115.06 = 717.40 : x
  2. Step 2: Convert to fraction form
    1,411.12/2,115.06 = 717.40/x
  3. Step 3: Cross multiply
    1,411.12x = 2,115.06 × 717.40
  4. Step 4: Simplify right side
    1,411.12x = 1,517,344.04
  5. Step 5: Solve for x
    x = 1,517,344.04/1,411.12
  6. Step 6: Final answer
    x = 1,075.28

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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.