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Finding the Fourth Proportional to 1,703.90, 2,350.71 and 985.61

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Solution

The fourth proportional to 1,703.90, 2,350.71 and 985.61 is: 1,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.90 : 2,350.71 = 985.61 : x
  2. Step 2: Convert to fraction form
    1,703.90/2,350.71 = 985.61/x
  3. Step 3: Cross multiply
    1,703.90x = 2,350.71 × 985.61
  4. Step 4: Simplify right side
    1,703.90x = 2,316,871.53
  5. Step 5: Solve for x
    x = 2,316,871.53/1,703.90
  6. Step 6: Final answer
    x = 1,359.75

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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.