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Finding the Fourth Proportional to 1,554.64, 2,142.68 and 1,382.87

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Solution

The fourth proportional to 1,554.64, 2,142.68 and 1,382.87 is: 1,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.64 : 2,142.68 = 1,382.87 : x
  2. Step 2: Convert to fraction form
    1,554.64/2,142.68 = 1,382.87/x
  3. Step 3: Cross multiply
    1,554.64x = 2,142.68 × 1,382.87
  4. Step 4: Simplify right side
    1,554.64x = 2,963,046.33
  5. Step 5: Solve for x
    x = 2,963,046.33/1,554.64
  6. Step 6: Final answer
    x = 1,905.94

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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.