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Finding the Fourth Proportional to 2,677.40, 4,013.00 and 1,116.53

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Solution

The fourth proportional to 2,677.40, 4,013.00 and 1,116.53 is: 1,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.40 : 4,013.00 = 1,116.53 : x
  2. Step 2: Convert to fraction form
    2,677.40/4,013.00 = 1,116.53/x
  3. Step 3: Cross multiply
    2,677.40x = 4,013.00 × 1,116.53
  4. Step 4: Simplify right side
    2,677.40x = 4,480,629.31
  5. Step 5: Solve for x
    x = 4,480,629.31/2,677.40
  6. Step 6: Final answer
    x = 1,673.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.