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Finding the Fourth Proportional to 1,523.02, 2,105.31 and 1,358.86

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Solution

The fourth proportional to 1,523.02, 2,105.31 and 1,358.86 is: 1,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.02 : 2,105.31 = 1,358.86 : x
  2. Step 2: Convert to fraction form
    1,523.02/2,105.31 = 1,358.86/x
  3. Step 3: Cross multiply
    1,523.02x = 2,105.31 × 1,358.86
  4. Step 4: Simplify right side
    1,523.02x = 2,860,821.55
  5. Step 5: Solve for x
    x = 2,860,821.55/1,523.02
  6. Step 6: Final answer
    x = 1,878.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.