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Finding the Fourth Proportional to 1,726.08, 2,575.86 and 1,541.55

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Solution

The fourth proportional to 1,726.08, 2,575.86 and 1,541.55 is: 2,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.08 : 2,575.86 = 1,541.55 : x
  2. Step 2: Convert to fraction form
    1,726.08/2,575.86 = 1,541.55/x
  3. Step 3: Cross multiply
    1,726.08x = 2,575.86 × 1,541.55
  4. Step 4: Simplify right side
    1,726.08x = 3,970,816.98
  5. Step 5: Solve for x
    x = 3,970,816.98/1,726.08
  6. Step 6: Final answer
    x = 2,300.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.