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Finding the Fourth Proportional to 1,675.86, 2,511.66 and 751.38

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Solution

The fourth proportional to 1,675.86, 2,511.66 and 751.38 is: 1,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.86 : 2,511.66 = 751.38 : x
  2. Step 2: Convert to fraction form
    1,675.86/2,511.66 = 751.38/x
  3. Step 3: Cross multiply
    1,675.86x = 2,511.66 × 751.38
  4. Step 4: Simplify right side
    1,675.86x = 1,887,200.26
  5. Step 5: Solve for x
    x = 1,887,200.26/1,675.86
  6. Step 6: Final answer
    x = 1,126.11

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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.