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Finding the Fourth Proportional to 1,952.71, 2,904.17 and 1,903.46

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Solution

The fourth proportional to 1,952.71, 2,904.17 and 1,903.46 is: 2,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.71 : 2,904.17 = 1,903.46 : x
  2. Step 2: Convert to fraction form
    1,952.71/2,904.17 = 1,903.46/x
  3. Step 3: Cross multiply
    1,952.71x = 2,904.17 × 1,903.46
  4. Step 4: Simplify right side
    1,952.71x = 5,527,947.39
  5. Step 5: Solve for x
    x = 5,527,947.39/1,952.71
  6. Step 6: Final answer
    x = 2,830.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.