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Finding the Fourth Proportional to 2,693.76, 4,040.84 and 1,395.46

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Solution

The fourth proportional to 2,693.76, 4,040.84 and 1,395.46 is: 2,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.76 : 4,040.84 = 1,395.46 : x
  2. Step 2: Convert to fraction form
    2,693.76/4,040.84 = 1,395.46/x
  3. Step 3: Cross multiply
    2,693.76x = 4,040.84 × 1,395.46
  4. Step 4: Simplify right side
    2,693.76x = 5,638,830.59
  5. Step 5: Solve for x
    x = 5,638,830.59/2,693.76
  6. Step 6: Final answer
    x = 2,093.29

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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.