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Finding the Fourth Proportional to 2,659.12, 3,671.10 and 1,776.22

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Solution

The fourth proportional to 2,659.12, 3,671.10 and 1,776.22 is: 2,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.12 : 3,671.10 = 1,776.22 : x
  2. Step 2: Convert to fraction form
    2,659.12/3,671.10 = 1,776.22/x
  3. Step 3: Cross multiply
    2,659.12x = 3,671.10 × 1,776.22
  4. Step 4: Simplify right side
    2,659.12x = 6,520,681.24
  5. Step 5: Solve for x
    x = 6,520,681.24/2,659.12
  6. Step 6: Final answer
    x = 2,452.20

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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.