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Finding the Fourth Proportional to 1,570.96, 2,344.96 and 1,456.75

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Solution

The fourth proportional to 1,570.96, 2,344.96 and 1,456.75 is: 2,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.96 : 2,344.96 = 1,456.75 : x
  2. Step 2: Convert to fraction form
    1,570.96/2,344.96 = 1,456.75/x
  3. Step 3: Cross multiply
    1,570.96x = 2,344.96 × 1,456.75
  4. Step 4: Simplify right side
    1,570.96x = 3,416,020.48
  5. Step 5: Solve for x
    x = 3,416,020.48/1,570.96
  6. Step 6: Final answer
    x = 2,174.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.