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Finding the Fourth Proportional to 2,753.54, 4,130.77 and 1,109.95

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Solution

The fourth proportional to 2,753.54, 4,130.77 and 1,109.95 is: 1,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.54 : 4,130.77 = 1,109.95 : x
  2. Step 2: Convert to fraction form
    2,753.54/4,130.77 = 1,109.95/x
  3. Step 3: Cross multiply
    2,753.54x = 4,130.77 × 1,109.95
  4. Step 4: Simplify right side
    2,753.54x = 4,584,954.71
  5. Step 5: Solve for x
    x = 4,584,954.71/2,753.54
  6. Step 6: Final answer
    x = 1,665.11

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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.