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Finding the Fourth Proportional to 2,325.75, 3,488.63 and 594.39

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Solution

The fourth proportional to 2,325.75, 3,488.63 and 594.39 is: 891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.75 : 3,488.63 = 594.39 : x
  2. Step 2: Convert to fraction form
    2,325.75/3,488.63 = 594.39/x
  3. Step 3: Cross multiply
    2,325.75x = 3,488.63 × 594.39
  4. Step 4: Simplify right side
    2,325.75x = 2,073,603.81
  5. Step 5: Solve for x
    x = 2,073,603.81/2,325.75
  6. Step 6: Final answer
    x = 891.59

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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.