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Finding the Fourth Proportional to 1,595.42, 2,395.14 and 1,230.44

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Solution

The fourth proportional to 1,595.42, 2,395.14 and 1,230.44 is: 1,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.42 : 2,395.14 = 1,230.44 : x
  2. Step 2: Convert to fraction form
    1,595.42/2,395.14 = 1,230.44/x
  3. Step 3: Cross multiply
    1,595.42x = 2,395.14 × 1,230.44
  4. Step 4: Simplify right side
    1,595.42x = 2,947,076.06
  5. Step 5: Solve for x
    x = 2,947,076.06/1,595.42
  6. Step 6: Final answer
    x = 1,847.21

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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.