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Finding the Fourth Proportional to 2,363.27, 3,542.00 and 975.74

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Solution

The fourth proportional to 2,363.27, 3,542.00 and 975.74 is: 1,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.27 : 3,542.00 = 975.74 : x
  2. Step 2: Convert to fraction form
    2,363.27/3,542.00 = 975.74/x
  3. Step 3: Cross multiply
    2,363.27x = 3,542.00 × 975.74
  4. Step 4: Simplify right side
    2,363.27x = 3,456,048.49
  5. Step 5: Solve for x
    x = 3,456,048.49/2,363.27
  6. Step 6: Final answer
    x = 1,462.40

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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.