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Finding the Fourth Proportional to 2,358.90, 3,538.34 and 1,384.47

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Solution

The fourth proportional to 2,358.90, 3,538.34 and 1,384.47 is: 2,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.90 : 3,538.34 = 1,384.47 : x
  2. Step 2: Convert to fraction form
    2,358.90/3,538.34 = 1,384.47/x
  3. Step 3: Cross multiply
    2,358.90x = 3,538.34 × 1,384.47
  4. Step 4: Simplify right side
    2,358.90x = 4,898,723.85
  5. Step 5: Solve for x
    x = 4,898,723.85/2,358.90
  6. Step 6: Final answer
    x = 2,076.70

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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.