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Finding the Fourth Proportional to 2,300.05, 3,176.98 and 2,000.71

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Solution

The fourth proportional to 2,300.05, 3,176.98 and 2,000.71 is: 2,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.05 : 3,176.98 = 2,000.71 : x
  2. Step 2: Convert to fraction form
    2,300.05/3,176.98 = 2,000.71/x
  3. Step 3: Cross multiply
    2,300.05x = 3,176.98 × 2,000.71
  4. Step 4: Simplify right side
    2,300.05x = 6,356,215.66
  5. Step 5: Solve for x
    x = 6,356,215.66/2,300.05
  6. Step 6: Final answer
    x = 2,763.51

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