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Finding the Fourth Proportional to 3,034.59, 4,187.70 and 1,708.27

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Solution

The fourth proportional to 3,034.59, 4,187.70 and 1,708.27 is: 2,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.59 : 4,187.70 = 1,708.27 : x
  2. Step 2: Convert to fraction form
    3,034.59/4,187.70 = 1,708.27/x
  3. Step 3: Cross multiply
    3,034.59x = 4,187.70 × 1,708.27
  4. Step 4: Simplify right side
    3,034.59x = 7,153,718.22
  5. Step 5: Solve for x
    x = 7,153,718.22/3,034.59
  6. Step 6: Final answer
    x = 2,357.39

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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.