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Finding the Fourth Proportional to 2,354.44, 3,248.98 and 1,292

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Solution

The fourth proportional to 2,354.44, 3,248.98 and 1,292 is: 1,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.44 : 3,248.98 = 1,292 : x
  2. Step 2: Convert to fraction form
    2,354.44/3,248.98 = 1,292/x
  3. Step 3: Cross multiply
    2,354.44x = 3,248.98 × 1,292
  4. Step 4: Simplify right side
    2,354.44x = 4,197,682.16
  5. Step 5: Solve for x
    x = 4,197,682.16/2,354.44
  6. Step 6: Final answer
    x = 1,782.88

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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.