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Finding the Fourth Proportional to 1,382.74, 1,895.72 and 1,358.17

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Solution

The fourth proportional to 1,382.74, 1,895.72 and 1,358.17 is: 1,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.74 : 1,895.72 = 1,358.17 : x
  2. Step 2: Convert to fraction form
    1,382.74/1,895.72 = 1,358.17/x
  3. Step 3: Cross multiply
    1,382.74x = 1,895.72 × 1,358.17
  4. Step 4: Simplify right side
    1,382.74x = 2,574,710.03
  5. Step 5: Solve for x
    x = 2,574,710.03/1,382.74
  6. Step 6: Final answer
    x = 1,862.03

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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.