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Finding the Fourth Proportional to 2,005.57, 3,008.47 and 910.02

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Solution

The fourth proportional to 2,005.57, 3,008.47 and 910.02 is: 1,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.57 : 3,008.47 = 910.02 : x
  2. Step 2: Convert to fraction form
    2,005.57/3,008.47 = 910.02/x
  3. Step 3: Cross multiply
    2,005.57x = 3,008.47 × 910.02
  4. Step 4: Simplify right side
    2,005.57x = 2,737,765.59
  5. Step 5: Solve for x
    x = 2,737,765.59/2,005.57
  6. Step 6: Final answer
    x = 1,365.08

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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.