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Finding the Fourth Proportional to 2,552.40, 3,499.74 and 2,302.74

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Solution

The fourth proportional to 2,552.40, 3,499.74 and 2,302.74 is: 3,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.40 : 3,499.74 = 2,302.74 : x
  2. Step 2: Convert to fraction form
    2,552.40/3,499.74 = 2,302.74/x
  3. Step 3: Cross multiply
    2,552.40x = 3,499.74 × 2,302.74
  4. Step 4: Simplify right side
    2,552.40x = 8,058,991.29
  5. Step 5: Solve for x
    x = 8,058,991.29/2,552.40
  6. Step 6: Final answer
    x = 3,157.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.