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Finding the Fourth Proportional to 3,091.16, 4,636.69 and 751.18

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Solution

The fourth proportional to 3,091.16, 4,636.69 and 751.18 is: 1,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.16 : 4,636.69 = 751.18 : x
  2. Step 2: Convert to fraction form
    3,091.16/4,636.69 = 751.18/x
  3. Step 3: Cross multiply
    3,091.16x = 4,636.69 × 751.18
  4. Step 4: Simplify right side
    3,091.16x = 3,482,985.04
  5. Step 5: Solve for x
    x = 3,482,985.04/3,091.16
  6. Step 6: Final answer
    x = 1,126.76

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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.