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Finding the Fourth Proportional to 1,566.71, 2,162.48 and 976.89

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Solution

The fourth proportional to 1,566.71, 2,162.48 and 976.89 is: 1,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.71 : 2,162.48 = 976.89 : x
  2. Step 2: Convert to fraction form
    1,566.71/2,162.48 = 976.89/x
  3. Step 3: Cross multiply
    1,566.71x = 2,162.48 × 976.89
  4. Step 4: Simplify right side
    1,566.71x = 2,112,500.20
  5. Step 5: Solve for x
    x = 2,112,500.20/1,566.71
  6. Step 6: Final answer
    x = 1,348.37

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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.