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Finding the Fourth Proportional to 2,690.54, 3,713.20 and 1,572.02

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Solution

The fourth proportional to 2,690.54, 3,713.20 and 1,572.02 is: 2,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.54 : 3,713.20 = 1,572.02 : x
  2. Step 2: Convert to fraction form
    2,690.54/3,713.20 = 1,572.02/x
  3. Step 3: Cross multiply
    2,690.54x = 3,713.20 × 1,572.02
  4. Step 4: Simplify right side
    2,690.54x = 5,837,224.66
  5. Step 5: Solve for x
    x = 5,837,224.66/2,690.54
  6. Step 6: Final answer
    x = 2,169.54

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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.