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Finding the Fourth Proportional to 2,320.92, 3,482.64 and 1,539

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Solution

The fourth proportional to 2,320.92, 3,482.64 and 1,539 is: 2,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.92 : 3,482.64 = 1,539 : x
  2. Step 2: Convert to fraction form
    2,320.92/3,482.64 = 1,539/x
  3. Step 3: Cross multiply
    2,320.92x = 3,482.64 × 1,539
  4. Step 4: Simplify right side
    2,320.92x = 5,359,782.96
  5. Step 5: Solve for x
    x = 5,359,782.96/2,320.92
  6. Step 6: Final answer
    x = 2,309.34

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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.