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Finding the Fourth Proportional to 1,784.85, 2,462.29 and 1,038.61

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Solution

The fourth proportional to 1,784.85, 2,462.29 and 1,038.61 is: 1,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.85 : 2,462.29 = 1,038.61 : x
  2. Step 2: Convert to fraction form
    1,784.85/2,462.29 = 1,038.61/x
  3. Step 3: Cross multiply
    1,784.85x = 2,462.29 × 1,038.61
  4. Step 4: Simplify right side
    1,784.85x = 2,557,359.02
  5. Step 5: Solve for x
    x = 2,557,359.02/1,784.85
  6. Step 6: Final answer
    x = 1,432.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.