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Finding the Fourth Proportional to 2,358.70, 3,538.08 and 1,205.26

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Solution

The fourth proportional to 2,358.70, 3,538.08 and 1,205.26 is: 1,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.70 : 3,538.08 = 1,205.26 : x
  2. Step 2: Convert to fraction form
    2,358.70/3,538.08 = 1,205.26/x
  3. Step 3: Cross multiply
    2,358.70x = 3,538.08 × 1,205.26
  4. Step 4: Simplify right side
    2,358.70x = 4,264,306.30
  5. Step 5: Solve for x
    x = 4,264,306.30/2,358.70
  6. Step 6: Final answer
    x = 1,807.91

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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.