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Finding the Fourth Proportional to 2,755.16, 3,802.77 and 1,760.07

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Solution

The fourth proportional to 2,755.16, 3,802.77 and 1,760.07 is: 2,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.16 : 3,802.77 = 1,760.07 : x
  2. Step 2: Convert to fraction form
    2,755.16/3,802.77 = 1,760.07/x
  3. Step 3: Cross multiply
    2,755.16x = 3,802.77 × 1,760.07
  4. Step 4: Simplify right side
    2,755.16x = 6,693,141.39
  5. Step 5: Solve for x
    x = 6,693,141.39/2,755.16
  6. Step 6: Final answer
    x = 2,429.32

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1.5x scale

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.