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Finding the Fourth Proportional to 1,775.97, 2,655.72 and 1,283.90

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Solution

The fourth proportional to 1,775.97, 2,655.72 and 1,283.90 is: 1,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.97 : 2,655.72 = 1,283.90 : x
  2. Step 2: Convert to fraction form
    1,775.97/2,655.72 = 1,283.90/x
  3. Step 3: Cross multiply
    1,775.97x = 2,655.72 × 1,283.90
  4. Step 4: Simplify right side
    1,775.97x = 3,409,665.63
  5. Step 5: Solve for x
    x = 3,409,665.63/1,775.97
  6. Step 6: Final answer
    x = 1,919.89

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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.