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Finding the Fourth Proportional to 2,981.81, 4,116.54 and 2,666.31

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Solution

The fourth proportional to 2,981.81, 4,116.54 and 2,666.31 is: 3,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.81 : 4,116.54 = 2,666.31 : x
  2. Step 2: Convert to fraction form
    2,981.81/4,116.54 = 2,666.31/x
  3. Step 3: Cross multiply
    2,981.81x = 4,116.54 × 2,666.31
  4. Step 4: Simplify right side
    2,981.81x = 10,975,971.77
  5. Step 5: Solve for x
    x = 10,975,971.77/2,981.81
  6. Step 6: Final answer
    x = 3,680.98

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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.