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Finding the Fourth Proportional to 2,257.70, 3,109.17 and 2,117.07

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Solution

The fourth proportional to 2,257.70, 3,109.17 and 2,117.07 is: 2,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.70 : 3,109.17 = 2,117.07 : x
  2. Step 2: Convert to fraction form
    2,257.70/3,109.17 = 2,117.07/x
  3. Step 3: Cross multiply
    2,257.70x = 3,109.17 × 2,117.07
  4. Step 4: Simplify right side
    2,257.70x = 6,582,330.53
  5. Step 5: Solve for x
    x = 6,582,330.53/2,257.70
  6. Step 6: Final answer
    x = 2,915.50

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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.