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Finding the Fourth Proportional to 1,785, 2,464.56 and 1,452.92

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Solution

The fourth proportional to 1,785, 2,464.56 and 1,452.92 is: 2,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785 : 2,464.56 = 1,452.92 : x
  2. Step 2: Convert to fraction form
    1,785/2,464.56 = 1,452.92/x
  3. Step 3: Cross multiply
    1,785x = 2,464.56 × 1,452.92
  4. Step 4: Simplify right side
    1,785x = 3,580,808.52
  5. Step 5: Solve for x
    x = 3,580,808.52/1,785
  6. Step 6: Final answer
    x = 2,006.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.