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Finding the Fourth Proportional to 1,964.80, 2,948.22 and 1,307.15

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Solution

The fourth proportional to 1,964.80, 2,948.22 and 1,307.15 is: 1,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.80 : 2,948.22 = 1,307.15 : x
  2. Step 2: Convert to fraction form
    1,964.80/2,948.22 = 1,307.15/x
  3. Step 3: Cross multiply
    1,964.80x = 2,948.22 × 1,307.15
  4. Step 4: Simplify right side
    1,964.80x = 3,853,751.03
  5. Step 5: Solve for x
    x = 3,853,751.03/1,964.80
  6. Step 6: Final answer
    x = 1,961.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.