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Finding the Fourth Proportional to 1,388.56, 1,916.88 and 1,089.13

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Solution

The fourth proportional to 1,388.56, 1,916.88 and 1,089.13 is: 1,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.56 : 1,916.88 = 1,089.13 : x
  2. Step 2: Convert to fraction form
    1,388.56/1,916.88 = 1,089.13/x
  3. Step 3: Cross multiply
    1,388.56x = 1,916.88 × 1,089.13
  4. Step 4: Simplify right side
    1,388.56x = 2,087,726.72
  5. Step 5: Solve for x
    x = 2,087,726.72/1,388.56
  6. Step 6: Final answer
    x = 1,503.52

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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.