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Finding the Fourth Proportional to 1,966.42, 2,948.01 and 1,041.42

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Solution

The fourth proportional to 1,966.42, 2,948.01 and 1,041.42 is: 1,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.42 : 2,948.01 = 1,041.42 : x
  2. Step 2: Convert to fraction form
    1,966.42/2,948.01 = 1,041.42/x
  3. Step 3: Cross multiply
    1,966.42x = 2,948.01 × 1,041.42
  4. Step 4: Simplify right side
    1,966.42x = 3,070,116.57
  5. Step 5: Solve for x
    x = 3,070,116.57/1,966.42
  6. Step 6: Final answer
    x = 1,561.27

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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.