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Finding the Fourth Proportional to 1,957.80, 2,947.35 and 1,689.96

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Solution

The fourth proportional to 1,957.80, 2,947.35 and 1,689.96 is: 2,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.80 : 2,947.35 = 1,689.96 : x
  2. Step 2: Convert to fraction form
    1,957.80/2,947.35 = 1,689.96/x
  3. Step 3: Cross multiply
    1,957.80x = 2,947.35 × 1,689.96
  4. Step 4: Simplify right side
    1,957.80x = 4,980,903.61
  5. Step 5: Solve for x
    x = 4,980,903.61/1,957.80
  6. Step 6: Final answer
    x = 2,544.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.