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Finding the Fourth Proportional to 1,841.08, 2,762.38 and 686.52

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Solution

The fourth proportional to 1,841.08, 2,762.38 and 686.52 is: 1,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.08 : 2,762.38 = 686.52 : x
  2. Step 2: Convert to fraction form
    1,841.08/2,762.38 = 686.52/x
  3. Step 3: Cross multiply
    1,841.08x = 2,762.38 × 686.52
  4. Step 4: Simplify right side
    1,841.08x = 1,896,429.12
  5. Step 5: Solve for x
    x = 1,896,429.12/1,841.08
  6. Step 6: Final answer
    x = 1,030.06

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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.