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Finding the Fourth Proportional to 1,488.97, 2,055.72 and 1,396

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Solution

The fourth proportional to 1,488.97, 2,055.72 and 1,396 is: 1,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.97 : 2,055.72 = 1,396 : x
  2. Step 2: Convert to fraction form
    1,488.97/2,055.72 = 1,396/x
  3. Step 3: Cross multiply
    1,488.97x = 2,055.72 × 1,396
  4. Step 4: Simplify right side
    1,488.97x = 2,869,785.12
  5. Step 5: Solve for x
    x = 2,869,785.12/1,488.97
  6. Step 6: Final answer
    x = 1,927.36

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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.