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Finding the Fourth Proportional to 1,713.53, 2,364.68 and 927.58

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Solution

The fourth proportional to 1,713.53, 2,364.68 and 927.58 is: 1,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.53 : 2,364.68 = 927.58 : x
  2. Step 2: Convert to fraction form
    1,713.53/2,364.68 = 927.58/x
  3. Step 3: Cross multiply
    1,713.53x = 2,364.68 × 927.58
  4. Step 4: Simplify right side
    1,713.53x = 2,193,431.67
  5. Step 5: Solve for x
    x = 2,193,431.67/1,713.53
  6. Step 6: Final answer
    x = 1,280.06

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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.