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Finding the Fourth Proportional to 1,707.91, 2,357.01 and 962.15

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Solution

The fourth proportional to 1,707.91, 2,357.01 and 962.15 is: 1,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.91 : 2,357.01 = 962.15 : x
  2. Step 2: Convert to fraction form
    1,707.91/2,357.01 = 962.15/x
  3. Step 3: Cross multiply
    1,707.91x = 2,357.01 × 962.15
  4. Step 4: Simplify right side
    1,707.91x = 2,267,785.39
  5. Step 5: Solve for x
    x = 2,267,785.39/1,707.91
  6. Step 6: Final answer
    x = 1,327.82

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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.