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Finding the Fourth Proportional to 1,677.15, 2,514.71 and 752.54

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Solution

The fourth proportional to 1,677.15, 2,514.71 and 752.54 is: 1,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.15 : 2,514.71 = 752.54 : x
  2. Step 2: Convert to fraction form
    1,677.15/2,514.71 = 752.54/x
  3. Step 3: Cross multiply
    1,677.15x = 2,514.71 × 752.54
  4. Step 4: Simplify right side
    1,677.15x = 1,892,403.53
  5. Step 5: Solve for x
    x = 1,892,403.53/1,677.15
  6. Step 6: Final answer
    x = 1,128.34

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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.