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Finding the Fourth Proportional to 2,522.56, 3,488.88 and 2,260.48

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Solution

The fourth proportional to 2,522.56, 3,488.88 and 2,260.48 is: 3,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.56 : 3,488.88 = 2,260.48 : x
  2. Step 2: Convert to fraction form
    2,522.56/3,488.88 = 2,260.48/x
  3. Step 3: Cross multiply
    2,522.56x = 3,488.88 × 2,260.48
  4. Step 4: Simplify right side
    2,522.56x = 7,886,543.46
  5. Step 5: Solve for x
    x = 7,886,543.46/2,522.56
  6. Step 6: Final answer
    x = 3,126.40

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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.