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Finding the Fourth Proportional to 1,979.57, 2,730 and 1,699.72

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Solution

The fourth proportional to 1,979.57, 2,730 and 1,699.72 is: 2,344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.57 : 2,730 = 1,699.72 : x
  2. Step 2: Convert to fraction form
    1,979.57/2,730 = 1,699.72/x
  3. Step 3: Cross multiply
    1,979.57x = 2,730 × 1,699.72
  4. Step 4: Simplify right side
    1,979.57x = 4,640,235.60
  5. Step 5: Solve for x
    x = 4,640,235.60/1,979.57
  6. Step 6: Final answer
    x = 2,344.06

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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.