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Finding the Fourth Proportional to 1,812.66, 2,713.52 and 1,283.69

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Solution

The fourth proportional to 1,812.66, 2,713.52 and 1,283.69 is: 1,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.66 : 2,713.52 = 1,283.69 : x
  2. Step 2: Convert to fraction form
    1,812.66/2,713.52 = 1,283.69/x
  3. Step 3: Cross multiply
    1,812.66x = 2,713.52 × 1,283.69
  4. Step 4: Simplify right side
    1,812.66x = 3,483,298.50
  5. Step 5: Solve for x
    x = 3,483,298.50/1,812.66
  6. Step 6: Final answer
    x = 1,921.65

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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.