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Finding the Fourth Proportional to 1,769.96, 2,442.67 and 984.06

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Solution

The fourth proportional to 1,769.96, 2,442.67 and 984.06 is: 1,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.96 : 2,442.67 = 984.06 : x
  2. Step 2: Convert to fraction form
    1,769.96/2,442.67 = 984.06/x
  3. Step 3: Cross multiply
    1,769.96x = 2,442.67 × 984.06
  4. Step 4: Simplify right side
    1,769.96x = 2,403,731.38
  5. Step 5: Solve for x
    x = 2,403,731.38/1,769.96
  6. Step 6: Final answer
    x = 1,358.07

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1.5x scale

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.