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Finding the Fourth Proportional to 2,577.01, 3,866.12 and 1,117.12

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Solution

The fourth proportional to 2,577.01, 3,866.12 and 1,117.12 is: 1,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.01 : 3,866.12 = 1,117.12 : x
  2. Step 2: Convert to fraction form
    2,577.01/3,866.12 = 1,117.12/x
  3. Step 3: Cross multiply
    2,577.01x = 3,866.12 × 1,117.12
  4. Step 4: Simplify right side
    2,577.01x = 4,318,919.97
  5. Step 5: Solve for x
    x = 4,318,919.97/2,577.01
  6. Step 6: Final answer
    x = 1,675.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.