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Finding the Fourth Proportional to 2,363.70, 3,261.93 and 1,480.02

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Solution

The fourth proportional to 2,363.70, 3,261.93 and 1,480.02 is: 2,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.70 : 3,261.93 = 1,480.02 : x
  2. Step 2: Convert to fraction form
    2,363.70/3,261.93 = 1,480.02/x
  3. Step 3: Cross multiply
    2,363.70x = 3,261.93 × 1,480.02
  4. Step 4: Simplify right side
    2,363.70x = 4,827,721.64
  5. Step 5: Solve for x
    x = 4,827,721.64/2,363.70
  6. Step 6: Final answer
    x = 2,042.44

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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.