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Finding the Fourth Proportional to 2,365.74, 3,262.95 and 1,480.95

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Solution

The fourth proportional to 2,365.74, 3,262.95 and 1,480.95 is: 2,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.74 : 3,262.95 = 1,480.95 : x
  2. Step 2: Convert to fraction form
    2,365.74/3,262.95 = 1,480.95/x
  3. Step 3: Cross multiply
    2,365.74x = 3,262.95 × 1,480.95
  4. Step 4: Simplify right side
    2,365.74x = 4,832,265.80
  5. Step 5: Solve for x
    x = 4,832,265.80/2,365.74
  6. Step 6: Final answer
    x = 2,042.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.