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Finding the Fourth Proportional to 1,356.12, 1,874.88 and 1,061.28

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Solution

The fourth proportional to 1,356.12, 1,874.88 and 1,061.28 is: 1,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.12 : 1,874.88 = 1,061.28 : x
  2. Step 2: Convert to fraction form
    1,356.12/1,874.88 = 1,061.28/x
  3. Step 3: Cross multiply
    1,356.12x = 1,874.88 × 1,061.28
  4. Step 4: Simplify right side
    1,356.12x = 1,989,772.65
  5. Step 5: Solve for x
    x = 1,989,772.65/1,356.12
  6. Step 6: Final answer
    x = 1,467.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.