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Finding the Fourth Proportional to 2,358.43, 3,538.21 and 1,666.45

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Solution

The fourth proportional to 2,358.43, 3,538.21 and 1,666.45 is: 2,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.43 : 3,538.21 = 1,666.45 : x
  2. Step 2: Convert to fraction form
    2,358.43/3,538.21 = 1,666.45/x
  3. Step 3: Cross multiply
    2,358.43x = 3,538.21 × 1,666.45
  4. Step 4: Simplify right side
    2,358.43x = 5,896,250.05
  5. Step 5: Solve for x
    x = 5,896,250.05/2,358.43
  6. Step 6: Final answer
    x = 2,500.07

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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.