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Finding the Fourth Proportional to 1,810.95, 2,716.82 and 1,532.10

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Solution

The fourth proportional to 1,810.95, 2,716.82 and 1,532.10 is: 2,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.95 : 2,716.82 = 1,532.10 : x
  2. Step 2: Convert to fraction form
    1,810.95/2,716.82 = 1,532.10/x
  3. Step 3: Cross multiply
    1,810.95x = 2,716.82 × 1,532.10
  4. Step 4: Simplify right side
    1,810.95x = 4,162,439.92
  5. Step 5: Solve for x
    x = 4,162,439.92/1,810.95
  6. Step 6: Final answer
    x = 2,298.48

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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.