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Finding the Fourth Proportional to 1,769.13, 2,441.46 and 972.54

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Solution

The fourth proportional to 1,769.13, 2,441.46 and 972.54 is: 1,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.13 : 2,441.46 = 972.54 : x
  2. Step 2: Convert to fraction form
    1,769.13/2,441.46 = 972.54/x
  3. Step 3: Cross multiply
    1,769.13x = 2,441.46 × 972.54
  4. Step 4: Simplify right side
    1,769.13x = 2,374,405.30
  5. Step 5: Solve for x
    x = 2,374,405.30/1,769.13
  6. Step 6: Final answer
    x = 1,342.13

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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.