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Finding the Fourth Proportional to 2,084.32, 3,126.28 and 545.32

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Solution

The fourth proportional to 2,084.32, 3,126.28 and 545.32 is: 817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.32 : 3,126.28 = 545.32 : x
  2. Step 2: Convert to fraction form
    2,084.32/3,126.28 = 545.32/x
  3. Step 3: Cross multiply
    2,084.32x = 3,126.28 × 545.32
  4. Step 4: Simplify right side
    2,084.32x = 1,704,823.01
  5. Step 5: Solve for x
    x = 1,704,823.01/2,084.32
  6. Step 6: Final answer
    x = 817.93

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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.