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Finding the Fourth Proportional to 2,693.18, 4,038.54 and 961.85

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Solution

The fourth proportional to 2,693.18, 4,038.54 and 961.85 is: 1,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.18 : 4,038.54 = 961.85 : x
  2. Step 2: Convert to fraction form
    2,693.18/4,038.54 = 961.85/x
  3. Step 3: Cross multiply
    2,693.18x = 4,038.54 × 961.85
  4. Step 4: Simplify right side
    2,693.18x = 3,884,449.51
  5. Step 5: Solve for x
    x = 3,884,449.51/2,693.18
  6. Step 6: Final answer
    x = 1,442.33

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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.