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Finding the Fourth Proportional to 2,247.80, 3,102.48 and 1,460.48

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Solution

The fourth proportional to 2,247.80, 3,102.48 and 1,460.48 is: 2,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.80 : 3,102.48 = 1,460.48 : x
  2. Step 2: Convert to fraction form
    2,247.80/3,102.48 = 1,460.48/x
  3. Step 3: Cross multiply
    2,247.80x = 3,102.48 × 1,460.48
  4. Step 4: Simplify right side
    2,247.80x = 4,531,094.48
  5. Step 5: Solve for x
    x = 4,531,094.48/2,247.80
  6. Step 6: Final answer
    x = 2,015.80

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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.