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Finding the Fourth Proportional to 2,358.12, 3,537.26 and 626.76

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Solution

The fourth proportional to 2,358.12, 3,537.26 and 626.76 is: 940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.12 : 3,537.26 = 626.76 : x
  2. Step 2: Convert to fraction form
    2,358.12/3,537.26 = 626.76/x
  3. Step 3: Cross multiply
    2,358.12x = 3,537.26 × 626.76
  4. Step 4: Simplify right side
    2,358.12x = 2,217,013.08
  5. Step 5: Solve for x
    x = 2,217,013.08/2,358.12
  6. Step 6: Final answer
    x = 940.16

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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.