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Finding the Fourth Proportional to 1,952.30, 2,913.46 and 1,744.70

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Solution

The fourth proportional to 1,952.30, 2,913.46 and 1,744.70 is: 2,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.30 : 2,913.46 = 1,744.70 : x
  2. Step 2: Convert to fraction form
    1,952.30/2,913.46 = 1,744.70/x
  3. Step 3: Cross multiply
    1,952.30x = 2,913.46 × 1,744.70
  4. Step 4: Simplify right side
    1,952.30x = 5,083,094.73
  5. Step 5: Solve for x
    x = 5,083,094.73/1,952.30
  6. Step 6: Final answer
    x = 2,603.64

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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.