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Finding the Fourth Proportional to 1,582.21, 2,375.75 and 1,410.49

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Solution

The fourth proportional to 1,582.21, 2,375.75 and 1,410.49 is: 2,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.21 : 2,375.75 = 1,410.49 : x
  2. Step 2: Convert to fraction form
    1,582.21/2,375.75 = 1,410.49/x
  3. Step 3: Cross multiply
    1,582.21x = 2,375.75 × 1,410.49
  4. Step 4: Simplify right side
    1,582.21x = 3,350,971.62
  5. Step 5: Solve for x
    x = 3,350,971.62/1,582.21
  6. Step 6: Final answer
    x = 2,117.91

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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.