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Finding the Fourth Proportional to 2,177.32, 3,264.90 and 1,066.82

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Solution

The fourth proportional to 2,177.32, 3,264.90 and 1,066.82 is: 1,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.32 : 3,264.90 = 1,066.82 : x
  2. Step 2: Convert to fraction form
    2,177.32/3,264.90 = 1,066.82/x
  3. Step 3: Cross multiply
    2,177.32x = 3,264.90 × 1,066.82
  4. Step 4: Simplify right side
    2,177.32x = 3,483,060.62
  5. Step 5: Solve for x
    x = 3,483,060.62/2,177.32
  6. Step 6: Final answer
    x = 1,599.70

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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.