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Finding the Fourth Proportional to 2,751.70, 4,127.55 and 804.10

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Solution

The fourth proportional to 2,751.70, 4,127.55 and 804.10 is: 1,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.70 : 4,127.55 = 804.10 : x
  2. Step 2: Convert to fraction form
    2,751.70/4,127.55 = 804.10/x
  3. Step 3: Cross multiply
    2,751.70x = 4,127.55 × 804.10
  4. Step 4: Simplify right side
    2,751.70x = 3,318,962.96
  5. Step 5: Solve for x
    x = 3,318,962.96/2,751.70
  6. Step 6: Final answer
    x = 1,206.15

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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.