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Finding the Fourth Proportional to 2,560.52, 3,531.62 and 1,764.10

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Solution

The fourth proportional to 2,560.52, 3,531.62 and 1,764.10 is: 2,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.52 : 3,531.62 = 1,764.10 : x
  2. Step 2: Convert to fraction form
    2,560.52/3,531.62 = 1,764.10/x
  3. Step 3: Cross multiply
    2,560.52x = 3,531.62 × 1,764.10
  4. Step 4: Simplify right side
    2,560.52x = 6,230,130.84
  5. Step 5: Solve for x
    x = 6,230,130.84/2,560.52
  6. Step 6: Final answer
    x = 2,433.15

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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.