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Finding the Fourth Proportional to 2,178.32, 3,264.52 and 1,587.32

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Solution

The fourth proportional to 2,178.32, 3,264.52 and 1,587.32 is: 2,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.32 : 3,264.52 = 1,587.32 : x
  2. Step 2: Convert to fraction form
    2,178.32/3,264.52 = 1,587.32/x
  3. Step 3: Cross multiply
    2,178.32x = 3,264.52 × 1,587.32
  4. Step 4: Simplify right side
    2,178.32x = 5,181,837.89
  5. Step 5: Solve for x
    x = 5,181,837.89/2,178.32
  6. Step 6: Final answer
    x = 2,378.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.