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Finding the Fourth Proportional to 2,637.11, 3,955.35 and 689.46

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Solution

The fourth proportional to 2,637.11, 3,955.35 and 689.46 is: 1,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.11 : 3,955.35 = 689.46 : x
  2. Step 2: Convert to fraction form
    2,637.11/3,955.35 = 689.46/x
  3. Step 3: Cross multiply
    2,637.11x = 3,955.35 × 689.46
  4. Step 4: Simplify right side
    2,637.11x = 2,727,055.61
  5. Step 5: Solve for x
    x = 2,727,055.61/2,637.11
  6. Step 6: Final answer
    x = 1,034.11

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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.