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Finding the Fourth Proportional to 1,842.15, 2,542.22 and 1,002.89

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Solution

The fourth proportional to 1,842.15, 2,542.22 and 1,002.89 is: 1,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.15 : 2,542.22 = 1,002.89 : x
  2. Step 2: Convert to fraction form
    1,842.15/2,542.22 = 1,002.89/x
  3. Step 3: Cross multiply
    1,842.15x = 2,542.22 × 1,002.89
  4. Step 4: Simplify right side
    1,842.15x = 2,549,549.29
  5. Step 5: Solve for x
    x = 2,549,549.29/1,842.15
  6. Step 6: Final answer
    x = 1,384.01

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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.