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Finding the Fourth Proportional to 1,713.74, 2,364.96 and 927.79

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Solution

The fourth proportional to 1,713.74, 2,364.96 and 927.79 is: 1,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.74 : 2,364.96 = 927.79 : x
  2. Step 2: Convert to fraction form
    1,713.74/2,364.96 = 927.79/x
  3. Step 3: Cross multiply
    1,713.74x = 2,364.96 × 927.79
  4. Step 4: Simplify right side
    1,713.74x = 2,194,187.34
  5. Step 5: Solve for x
    x = 2,194,187.34/1,713.74
  6. Step 6: Final answer
    x = 1,280.35

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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.