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Finding the Fourth Proportional to 1,854.86, 2,782.33 and 867.41

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Solution

The fourth proportional to 1,854.86, 2,782.33 and 867.41 is: 1,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.86 : 2,782.33 = 867.41 : x
  2. Step 2: Convert to fraction form
    1,854.86/2,782.33 = 867.41/x
  3. Step 3: Cross multiply
    1,854.86x = 2,782.33 × 867.41
  4. Step 4: Simplify right side
    1,854.86x = 2,413,404.79
  5. Step 5: Solve for x
    x = 2,413,404.79/1,854.86
  6. Step 6: Final answer
    x = 1,301.12

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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.