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Finding the Fourth Proportional to 2,066.52, 3,101.04 and 896.31

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Solution

The fourth proportional to 2,066.52, 3,101.04 and 896.31 is: 1,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.52 : 3,101.04 = 896.31 : x
  2. Step 2: Convert to fraction form
    2,066.52/3,101.04 = 896.31/x
  3. Step 3: Cross multiply
    2,066.52x = 3,101.04 × 896.31
  4. Step 4: Simplify right side
    2,066.52x = 2,779,493.16
  5. Step 5: Solve for x
    x = 2,779,493.16/2,066.52
  6. Step 6: Final answer
    x = 1,345.01

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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.