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Finding the Fourth Proportional to 2,223.52, 3,068.48 and 1,292

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Solution

The fourth proportional to 2,223.52, 3,068.48 and 1,292 is: 1,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.52 : 3,068.48 = 1,292 : x
  2. Step 2: Convert to fraction form
    2,223.52/3,068.48 = 1,292/x
  3. Step 3: Cross multiply
    2,223.52x = 3,068.48 × 1,292
  4. Step 4: Simplify right side
    2,223.52x = 3,964,476.16
  5. Step 5: Solve for x
    x = 3,964,476.16/2,223.52
  6. Step 6: Final answer
    x = 1,782.97

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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.