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Finding the Fourth Proportional to 2,162.71, 2,985.54 and 1,266.32

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Solution

The fourth proportional to 2,162.71, 2,985.54 and 1,266.32 is: 1,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.71 : 2,985.54 = 1,266.32 : x
  2. Step 2: Convert to fraction form
    2,162.71/2,985.54 = 1,266.32/x
  3. Step 3: Cross multiply
    2,162.71x = 2,985.54 × 1,266.32
  4. Step 4: Simplify right side
    2,162.71x = 3,780,661.43
  5. Step 5: Solve for x
    x = 3,780,661.43/2,162.71
  6. Step 6: Final answer
    x = 1,748.11

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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.