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Finding the Fourth Proportional to 1,410.32, 1,928.97 and 1,387.64

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Solution

The fourth proportional to 1,410.32, 1,928.97 and 1,387.64 is: 1,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.32 : 1,928.97 = 1,387.64 : x
  2. Step 2: Convert to fraction form
    1,410.32/1,928.97 = 1,387.64/x
  3. Step 3: Cross multiply
    1,410.32x = 1,928.97 × 1,387.64
  4. Step 4: Simplify right side
    1,410.32x = 2,676,706.29
  5. Step 5: Solve for x
    x = 2,676,706.29/1,410.32
  6. Step 6: Final answer
    x = 1,897.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.