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Finding the Fourth Proportional to 2,655.10, 3,652.86 and 2,582.20

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Solution

The fourth proportional to 2,655.10, 3,652.86 and 2,582.20 is: 3,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.10 : 3,652.86 = 2,582.20 : x
  2. Step 2: Convert to fraction form
    2,655.10/3,652.86 = 2,582.20/x
  3. Step 3: Cross multiply
    2,655.10x = 3,652.86 × 2,582.20
  4. Step 4: Simplify right side
    2,655.10x = 9,432,415.09
  5. Step 5: Solve for x
    x = 9,432,415.09/2,655.10
  6. Step 6: Final answer
    x = 3,552.56

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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.