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Finding the Fourth Proportional to 1,842.69, 2,542.95 and 1,046.07

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Solution

The fourth proportional to 1,842.69, 2,542.95 and 1,046.07 is: 1,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.69 : 2,542.95 = 1,046.07 : x
  2. Step 2: Convert to fraction form
    1,842.69/2,542.95 = 1,046.07/x
  3. Step 3: Cross multiply
    1,842.69x = 2,542.95 × 1,046.07
  4. Step 4: Simplify right side
    1,842.69x = 2,660,103.71
  5. Step 5: Solve for x
    x = 2,660,103.71/1,842.69
  6. Step 6: Final answer
    x = 1,443.60

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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.