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Finding the Fourth Proportional to 1,708.14, 2,559.72 and 927.48

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Solution

The fourth proportional to 1,708.14, 2,559.72 and 927.48 is: 1,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.14 : 2,559.72 = 927.48 : x
  2. Step 2: Convert to fraction form
    1,708.14/2,559.72 = 927.48/x
  3. Step 3: Cross multiply
    1,708.14x = 2,559.72 × 927.48
  4. Step 4: Simplify right side
    1,708.14x = 2,374,089.11
  5. Step 5: Solve for x
    x = 2,374,089.11/1,708.14
  6. Step 6: Final answer
    x = 1,389.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.