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Finding the Fourth Proportional to 2,394.28, 3,590.81 and 751.20

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Solution

The fourth proportional to 2,394.28, 3,590.81 and 751.20 is: 1,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.28 : 3,590.81 = 751.20 : x
  2. Step 2: Convert to fraction form
    2,394.28/3,590.81 = 751.20/x
  3. Step 3: Cross multiply
    2,394.28x = 3,590.81 × 751.20
  4. Step 4: Simplify right side
    2,394.28x = 2,697,416.47
  5. Step 5: Solve for x
    x = 2,697,416.47/2,394.28
  6. Step 6: Final answer
    x = 1,126.61

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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.