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Finding the Fourth Proportional to 2,394.40, 3,590.52 and 750.56

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Solution

The fourth proportional to 2,394.40, 3,590.52 and 750.56 is: 1,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.40 : 3,590.52 = 750.56 : x
  2. Step 2: Convert to fraction form
    2,394.40/3,590.52 = 750.56/x
  3. Step 3: Cross multiply
    2,394.40x = 3,590.52 × 750.56
  4. Step 4: Simplify right side
    2,394.40x = 2,694,900.69
  5. Step 5: Solve for x
    x = 2,694,900.69/2,394.40
  6. Step 6: Final answer
    x = 1,125.50

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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.