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Finding the Fourth Proportional to 1,597.57, 2,393.07 and 1,578.13

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Solution

The fourth proportional to 1,597.57, 2,393.07 and 1,578.13 is: 2,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.57 : 2,393.07 = 1,578.13 : x
  2. Step 2: Convert to fraction form
    1,597.57/2,393.07 = 1,578.13/x
  3. Step 3: Cross multiply
    1,597.57x = 2,393.07 × 1,578.13
  4. Step 4: Simplify right side
    1,597.57x = 3,776,575.56
  5. Step 5: Solve for x
    x = 3,776,575.56/1,597.57
  6. Step 6: Final answer
    x = 2,363.95

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1.5x scale

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.