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Finding the Fourth Proportional to 2,007.52, 3,010.02 and 1,032.28

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Solution

The fourth proportional to 2,007.52, 3,010.02 and 1,032.28 is: 1,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.52 : 3,010.02 = 1,032.28 : x
  2. Step 2: Convert to fraction form
    2,007.52/3,010.02 = 1,032.28/x
  3. Step 3: Cross multiply
    2,007.52x = 3,010.02 × 1,032.28
  4. Step 4: Simplify right side
    2,007.52x = 3,107,183.45
  5. Step 5: Solve for x
    x = 3,107,183.45/2,007.52
  6. Step 6: Final answer
    x = 1,547.77

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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.