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Finding the Fourth Proportional to 2,686.98, 4,032.09 and 1,044.30

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Solution

The fourth proportional to 2,686.98, 4,032.09 and 1,044.30 is: 1,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.98 : 4,032.09 = 1,044.30 : x
  2. Step 2: Convert to fraction form
    2,686.98/4,032.09 = 1,044.30/x
  3. Step 3: Cross multiply
    2,686.98x = 4,032.09 × 1,044.30
  4. Step 4: Simplify right side
    2,686.98x = 4,210,711.59
  5. Step 5: Solve for x
    x = 4,210,711.59/2,686.98
  6. Step 6: Final answer
    x = 1,567.08

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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.