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Finding the Fourth Proportional to 2,330.17, 3,494.17 and 868.93

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Solution

The fourth proportional to 2,330.17, 3,494.17 and 868.93 is: 1,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.17 : 3,494.17 = 868.93 : x
  2. Step 2: Convert to fraction form
    2,330.17/3,494.17 = 868.93/x
  3. Step 3: Cross multiply
    2,330.17x = 3,494.17 × 868.93
  4. Step 4: Simplify right side
    2,330.17x = 3,036,189.14
  5. Step 5: Solve for x
    x = 3,036,189.14/2,330.17
  6. Step 6: Final answer
    x = 1,302.99

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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.