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Finding the Fourth Proportional to 2,349.04, 3,523.71 and 705.76

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Solution

The fourth proportional to 2,349.04, 3,523.71 and 705.76 is: 1,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.04 : 3,523.71 = 705.76 : x
  2. Step 2: Convert to fraction form
    2,349.04/3,523.71 = 705.76/x
  3. Step 3: Cross multiply
    2,349.04x = 3,523.71 × 705.76
  4. Step 4: Simplify right side
    2,349.04x = 2,486,893.57
  5. Step 5: Solve for x
    x = 2,486,893.57/2,349.04
  6. Step 6: Final answer
    x = 1,058.69

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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.