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Finding the Fourth Proportional to 1,461.40, 2,016.76 and 798.28

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Solution

The fourth proportional to 1,461.40, 2,016.76 and 798.28 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.40 : 2,016.76 = 798.28 : x
  2. Step 2: Convert to fraction form
    1,461.40/2,016.76 = 798.28/x
  3. Step 3: Cross multiply
    1,461.40x = 2,016.76 × 798.28
  4. Step 4: Simplify right side
    1,461.40x = 1,609,939.17
  5. Step 5: Solve for x
    x = 1,609,939.17/1,461.40
  6. Step 6: Final answer
    x = 1,101.64

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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.