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Finding the Fourth Proportional to 2,363.22, 3,542.90 and 977.55

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Solution

The fourth proportional to 2,363.22, 3,542.90 and 977.55 is: 1,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.22 : 3,542.90 = 977.55 : x
  2. Step 2: Convert to fraction form
    2,363.22/3,542.90 = 977.55/x
  3. Step 3: Cross multiply
    2,363.22x = 3,542.90 × 977.55
  4. Step 4: Simplify right side
    2,363.22x = 3,463,373.96
  5. Step 5: Solve for x
    x = 3,463,373.96/2,363.22
  6. Step 6: Final answer
    x = 1,465.53

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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.