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Finding the Fourth Proportional to 2,242.71, 3,094.91 and 1,248

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Solution

The fourth proportional to 2,242.71, 3,094.91 and 1,248 is: 1,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.71 : 3,094.91 = 1,248 : x
  2. Step 2: Convert to fraction form
    2,242.71/3,094.91 = 1,248/x
  3. Step 3: Cross multiply
    2,242.71x = 3,094.91 × 1,248
  4. Step 4: Simplify right side
    2,242.71x = 3,862,441.44
  5. Step 5: Solve for x
    x = 3,862,441.44/2,242.71
  6. Step 6: Final answer
    x = 1,722.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.