Home / 2,567.16-3,542.74-1,573

Finding the Fourth Proportional to 2,567.16, 3,542.74 and 1,573

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Solution

The fourth proportional to 2,567.16, 3,542.74 and 1,573 is: 2,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.16 : 3,542.74 = 1,573 : x
  2. Step 2: Convert to fraction form
    2,567.16/3,542.74 = 1,573/x
  3. Step 3: Cross multiply
    2,567.16x = 3,542.74 × 1,573
  4. Step 4: Simplify right side
    2,567.16x = 5,572,730.02
  5. Step 5: Solve for x
    x = 5,572,730.02/2,567.16
  6. Step 6: Final answer
    x = 2,170.78

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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.