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Finding the Fourth Proportional to 2,577.92, 3,862.96 and 1,709.12

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Solution

The fourth proportional to 2,577.92, 3,862.96 and 1,709.12 is: 2,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.92 : 3,862.96 = 1,709.12 : x
  2. Step 2: Convert to fraction form
    2,577.92/3,862.96 = 1,709.12/x
  3. Step 3: Cross multiply
    2,577.92x = 3,862.96 × 1,709.12
  4. Step 4: Simplify right side
    2,577.92x = 6,602,262.20
  5. Step 5: Solve for x
    x = 6,602,262.20/2,577.92
  6. Step 6: Final answer
    x = 2,561.08

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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.