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Finding the Fourth Proportional to 2,366.18, 3,542.97 and 2,089.34

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Solution

The fourth proportional to 2,366.18, 3,542.97 and 2,089.34 is: 3,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.18 : 3,542.97 = 2,089.34 : x
  2. Step 2: Convert to fraction form
    2,366.18/3,542.97 = 2,089.34/x
  3. Step 3: Cross multiply
    2,366.18x = 3,542.97 × 2,089.34
  4. Step 4: Simplify right side
    2,366.18x = 7,402,468.94
  5. Step 5: Solve for x
    x = 7,402,468.94/2,366.18
  6. Step 6: Final answer
    x = 3,128.45

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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.