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Finding the Fourth Proportional to 1,590.52, 2,385.18 and 941.44

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Solution

The fourth proportional to 1,590.52, 2,385.18 and 941.44 is: 1,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.52 : 2,385.18 = 941.44 : x
  2. Step 2: Convert to fraction form
    1,590.52/2,385.18 = 941.44/x
  3. Step 3: Cross multiply
    1,590.52x = 2,385.18 × 941.44
  4. Step 4: Simplify right side
    1,590.52x = 2,245,503.86
  5. Step 5: Solve for x
    x = 2,245,503.86/1,590.52
  6. Step 6: Final answer
    x = 1,411.80

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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.