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Finding the Fourth Proportional to 1,964.80, 2,948.91 and 1,041.02

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Solution

The fourth proportional to 1,964.80, 2,948.91 and 1,041.02 is: 1,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.80 : 2,948.91 = 1,041.02 : x
  2. Step 2: Convert to fraction form
    1,964.80/2,948.91 = 1,041.02/x
  3. Step 3: Cross multiply
    1,964.80x = 2,948.91 × 1,041.02
  4. Step 4: Simplify right side
    1,964.80x = 3,069,874.29
  5. Step 5: Solve for x
    x = 3,069,874.29/1,964.80
  6. Step 6: Final answer
    x = 1,562.44

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Why These Related Problems?

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