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Finding the Fourth Proportional to 2,162.76, 2,986.50 and 1,377

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Solution

The fourth proportional to 2,162.76, 2,986.50 and 1,377 is: 1,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.76 : 2,986.50 = 1,377 : x
  2. Step 2: Convert to fraction form
    2,162.76/2,986.50 = 1,377/x
  3. Step 3: Cross multiply
    2,162.76x = 2,986.50 × 1,377
  4. Step 4: Simplify right side
    2,162.76x = 4,112,410.50
  5. Step 5: Solve for x
    x = 4,112,410.50/2,162.76
  6. Step 6: Final answer
    x = 1,901.46

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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.