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Finding the Fourth Proportional to 1,637.76, 2,454.78 and 541.83

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Solution

The fourth proportional to 1,637.76, 2,454.78 and 541.83 is: 812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.76 : 2,454.78 = 541.83 : x
  2. Step 2: Convert to fraction form
    1,637.76/2,454.78 = 541.83/x
  3. Step 3: Cross multiply
    1,637.76x = 2,454.78 × 541.83
  4. Step 4: Simplify right side
    1,637.76x = 1,330,073.45
  5. Step 5: Solve for x
    x = 1,330,073.45/1,637.76
  6. Step 6: Final answer
    x = 812.13

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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.