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Finding the Fourth Proportional to 2,359.85, 3,542.16 and 974.01

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Solution

The fourth proportional to 2,359.85, 3,542.16 and 974.01 is: 1,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.85 : 3,542.16 = 974.01 : x
  2. Step 2: Convert to fraction form
    2,359.85/3,542.16 = 974.01/x
  3. Step 3: Cross multiply
    2,359.85x = 3,542.16 × 974.01
  4. Step 4: Simplify right side
    2,359.85x = 3,450,099.26
  5. Step 5: Solve for x
    x = 3,450,099.26/2,359.85
  6. Step 6: Final answer
    x = 1,462.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.