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Finding the Fourth Proportional to 2,568.96, 3,542.64 and 2,527.92

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Solution

The fourth proportional to 2,568.96, 3,542.64 and 2,527.92 is: 3,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.96 : 3,542.64 = 2,527.92 : x
  2. Step 2: Convert to fraction form
    2,568.96/3,542.64 = 2,527.92/x
  3. Step 3: Cross multiply
    2,568.96x = 3,542.64 × 2,527.92
  4. Step 4: Simplify right side
    2,568.96x = 8,955,510.51
  5. Step 5: Solve for x
    x = 8,955,510.51/2,568.96
  6. Step 6: Final answer
    x = 3,486.05

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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.