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Finding the Fourth Proportional to 2,535.55, 3,802.98 and 686.83

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Solution

The fourth proportional to 2,535.55, 3,802.98 and 686.83 is: 1,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.55 : 3,802.98 = 686.83 : x
  2. Step 2: Convert to fraction form
    2,535.55/3,802.98 = 686.83/x
  3. Step 3: Cross multiply
    2,535.55x = 3,802.98 × 686.83
  4. Step 4: Simplify right side
    2,535.55x = 2,612,000.75
  5. Step 5: Solve for x
    x = 2,612,000.75/2,535.55
  6. Step 6: Final answer
    x = 1,030.15

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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.