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Finding the Fourth Proportional to 1,242.40, 1,864.10 and 549.20

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Solution

The fourth proportional to 1,242.40, 1,864.10 and 549.20 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.40 : 1,864.10 = 549.20 : x
  2. Step 2: Convert to fraction form
    1,242.40/1,864.10 = 549.20/x
  3. Step 3: Cross multiply
    1,242.40x = 1,864.10 × 549.20
  4. Step 4: Simplify right side
    1,242.40x = 1,023,763.72
  5. Step 5: Solve for x
    x = 1,023,763.72/1,242.40
  6. Step 6: Final answer
    x = 824.02

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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.