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Finding the Fourth Proportional to 2,079.31, 3,118.11 and 924.25

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Solution

The fourth proportional to 2,079.31, 3,118.11 and 924.25 is: 1,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.31 : 3,118.11 = 924.25 : x
  2. Step 2: Convert to fraction form
    2,079.31/3,118.11 = 924.25/x
  3. Step 3: Cross multiply
    2,079.31x = 3,118.11 × 924.25
  4. Step 4: Simplify right side
    2,079.31x = 2,881,913.17
  5. Step 5: Solve for x
    x = 2,881,913.17/2,079.31
  6. Step 6: Final answer
    x = 1,385.99

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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.