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Finding the Fourth Proportional to 1,788.16, 2,454.50 and 1,587.28

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Solution

The fourth proportional to 1,788.16, 2,454.50 and 1,587.28 is: 2,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.16 : 2,454.50 = 1,587.28 : x
  2. Step 2: Convert to fraction form
    1,788.16/2,454.50 = 1,587.28/x
  3. Step 3: Cross multiply
    1,788.16x = 2,454.50 × 1,587.28
  4. Step 4: Simplify right side
    1,788.16x = 3,895,978.76
  5. Step 5: Solve for x
    x = 3,895,978.76/1,788.16
  6. Step 6: Final answer
    x = 2,178.76

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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.