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Finding the Fourth Proportional to 2,773.27, 4,160.15 and 924.40

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Solution

The fourth proportional to 2,773.27, 4,160.15 and 924.40 is: 1,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.27 : 4,160.15 = 924.40 : x
  2. Step 2: Convert to fraction form
    2,773.27/4,160.15 = 924.40/x
  3. Step 3: Cross multiply
    2,773.27x = 4,160.15 × 924.40
  4. Step 4: Simplify right side
    2,773.27x = 3,845,642.66
  5. Step 5: Solve for x
    x = 3,845,642.66/2,773.27
  6. Step 6: Final answer
    x = 1,386.68

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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.