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Finding the Fourth Proportional to 2,242.56, 3,363.12 and 944.40

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Solution

The fourth proportional to 2,242.56, 3,363.12 and 944.40 is: 1,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.56 : 3,363.12 = 944.40 : x
  2. Step 2: Convert to fraction form
    2,242.56/3,363.12 = 944.40/x
  3. Step 3: Cross multiply
    2,242.56x = 3,363.12 × 944.40
  4. Step 4: Simplify right side
    2,242.56x = 3,176,130.53
  5. Step 5: Solve for x
    x = 3,176,130.53/2,242.56
  6. Step 6: Final answer
    x = 1,416.30

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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.