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Finding the Fourth Proportional to 1,568.14, 2,349.16 and 1,217

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Solution

The fourth proportional to 1,568.14, 2,349.16 and 1,217 is: 1,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.14 : 2,349.16 = 1,217 : x
  2. Step 2: Convert to fraction form
    1,568.14/2,349.16 = 1,217/x
  3. Step 3: Cross multiply
    1,568.14x = 2,349.16 × 1,217
  4. Step 4: Simplify right side
    1,568.14x = 2,858,927.72
  5. Step 5: Solve for x
    x = 2,858,927.72/1,568.14
  6. Step 6: Final answer
    x = 1,823.13

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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.