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Finding the Fourth Proportional to 1,693.45, 2,539.49 and 652.87

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Solution

The fourth proportional to 1,693.45, 2,539.49 and 652.87 is: 979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.45 : 2,539.49 = 652.87 : x
  2. Step 2: Convert to fraction form
    1,693.45/2,539.49 = 652.87/x
  3. Step 3: Cross multiply
    1,693.45x = 2,539.49 × 652.87
  4. Step 4: Simplify right side
    1,693.45x = 1,657,956.84
  5. Step 5: Solve for x
    x = 1,657,956.84/1,693.45
  6. Step 6: Final answer
    x = 979.04

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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.