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Finding the Fourth Proportional to 1,701.19, 2,347.24 and 992.61

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Solution

The fourth proportional to 1,701.19, 2,347.24 and 992.61 is: 1,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.19 : 2,347.24 = 992.61 : x
  2. Step 2: Convert to fraction form
    1,701.19/2,347.24 = 992.61/x
  3. Step 3: Cross multiply
    1,701.19x = 2,347.24 × 992.61
  4. Step 4: Simplify right side
    1,701.19x = 2,329,877.20
  5. Step 5: Solve for x
    x = 2,329,877.20/1,701.19
  6. Step 6: Final answer
    x = 1,369.56

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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.