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Finding the Fourth Proportional to 2,597.72, 3,585 and 2,422.76

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Solution

The fourth proportional to 2,597.72, 3,585 and 2,422.76 is: 3,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.72 : 3,585 = 2,422.76 : x
  2. Step 2: Convert to fraction form
    2,597.72/3,585 = 2,422.76/x
  3. Step 3: Cross multiply
    2,597.72x = 3,585 × 2,422.76
  4. Step 4: Simplify right side
    2,597.72x = 8,685,594.60
  5. Step 5: Solve for x
    x = 8,685,594.60/2,597.72
  6. Step 6: Final answer
    x = 3,343.55

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1.5x scale

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.