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Finding the Fourth Proportional to 1,769.56, 2,442 and 983.62

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Solution

The fourth proportional to 1,769.56, 2,442 and 983.62 is: 1,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.56 : 2,442 = 983.62 : x
  2. Step 2: Convert to fraction form
    1,769.56/2,442 = 983.62/x
  3. Step 3: Cross multiply
    1,769.56x = 2,442 × 983.62
  4. Step 4: Simplify right side
    1,769.56x = 2,402,000.04
  5. Step 5: Solve for x
    x = 2,402,000.04/1,769.56
  6. Step 6: Final answer
    x = 1,357.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.