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Finding the Fourth Proportional to 2,349.14, 3,524.40 and 705.94

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Solution

The fourth proportional to 2,349.14, 3,524.40 and 705.94 is: 1,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.14 : 3,524.40 = 705.94 : x
  2. Step 2: Convert to fraction form
    2,349.14/3,524.40 = 705.94/x
  3. Step 3: Cross multiply
    2,349.14x = 3,524.40 × 705.94
  4. Step 4: Simplify right side
    2,349.14x = 2,488,006.13
  5. Step 5: Solve for x
    x = 2,488,006.13/2,349.14
  6. Step 6: Final answer
    x = 1,059.11

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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.