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Finding the Fourth Proportional to 2,666.66, 3,680.02 and 1,471.70

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Solution

The fourth proportional to 2,666.66, 3,680.02 and 1,471.70 is: 2,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.66 : 3,680.02 = 1,471.70 : x
  2. Step 2: Convert to fraction form
    2,666.66/3,680.02 = 1,471.70/x
  3. Step 3: Cross multiply
    2,666.66x = 3,680.02 × 1,471.70
  4. Step 4: Simplify right side
    2,666.66x = 5,415,888.20
  5. Step 5: Solve for x
    x = 5,415,888.20/2,666.66
  6. Step 6: Final answer
    x = 2,030.97

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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.