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Finding the Fourth Proportional to 1,582.93, 2,375.30 and 852.49

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Solution

The fourth proportional to 1,582.93, 2,375.30 and 852.49 is: 1,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.93 : 2,375.30 = 852.49 : x
  2. Step 2: Convert to fraction form
    1,582.93/2,375.30 = 852.49/x
  3. Step 3: Cross multiply
    1,582.93x = 2,375.30 × 852.49
  4. Step 4: Simplify right side
    1,582.93x = 2,024,919.50
  5. Step 5: Solve for x
    x = 2,024,919.50/1,582.93
  6. Step 6: Final answer
    x = 1,279.22

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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.