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Finding the Fourth Proportional to 1,713.50, 2,364.63 and 927.55

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Solution

The fourth proportional to 1,713.50, 2,364.63 and 927.55 is: 1,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.50 : 2,364.63 = 927.55 : x
  2. Step 2: Convert to fraction form
    1,713.50/2,364.63 = 927.55/x
  3. Step 3: Cross multiply
    1,713.50x = 2,364.63 × 927.55
  4. Step 4: Simplify right side
    1,713.50x = 2,193,312.82
  5. Step 5: Solve for x
    x = 2,193,312.82/1,713.50
  6. Step 6: Final answer
    x = 1,280.02

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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.