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Finding the Fourth Proportional to 3,034.84, 4,187.92 and 1,708.50

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Solution

The fourth proportional to 3,034.84, 4,187.92 and 1,708.50 is: 2,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.84 : 4,187.92 = 1,708.50 : x
  2. Step 2: Convert to fraction form
    3,034.84/4,187.92 = 1,708.50/x
  3. Step 3: Cross multiply
    3,034.84x = 4,187.92 × 1,708.50
  4. Step 4: Simplify right side
    3,034.84x = 7,155,061.32
  5. Step 5: Solve for x
    x = 7,155,061.32/3,034.84
  6. Step 6: Final answer
    x = 2,357.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.