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Finding the Fourth Proportional to 2,325.53, 3,488.73 and 765.63

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Solution

The fourth proportional to 2,325.53, 3,488.73 and 765.63 is: 1,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.53 : 3,488.73 = 765.63 : x
  2. Step 2: Convert to fraction form
    2,325.53/3,488.73 = 765.63/x
  3. Step 3: Cross multiply
    2,325.53x = 3,488.73 × 765.63
  4. Step 4: Simplify right side
    2,325.53x = 2,671,076.35
  5. Step 5: Solve for x
    x = 2,671,076.35/2,325.53
  6. Step 6: Final answer
    x = 1,148.59

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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.