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Finding the Fourth Proportional to 2,044, 3,066.96 and 1,132

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Solution

The fourth proportional to 2,044, 3,066.96 and 1,132 is: 1,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044 : 3,066.96 = 1,132 : x
  2. Step 2: Convert to fraction form
    2,044/3,066.96 = 1,132/x
  3. Step 3: Cross multiply
    2,044x = 3,066.96 × 1,132
  4. Step 4: Simplify right side
    2,044x = 3,471,798.72
  5. Step 5: Solve for x
    x = 3,471,798.72/2,044
  6. Step 6: Final answer
    x = 1,698.53

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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.