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Finding the Fourth Proportional to 2,358.45, 3,535.17 and 1,123.26

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Solution

The fourth proportional to 2,358.45, 3,535.17 and 1,123.26 is: 1,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.45 : 3,535.17 = 1,123.26 : x
  2. Step 2: Convert to fraction form
    2,358.45/3,535.17 = 1,123.26/x
  3. Step 3: Cross multiply
    2,358.45x = 3,535.17 × 1,123.26
  4. Step 4: Simplify right side
    2,358.45x = 3,970,915.05
  5. Step 5: Solve for x
    x = 3,970,915.05/2,358.45
  6. Step 6: Final answer
    x = 1,683.70

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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.