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Finding the Fourth Proportional to 2,071.36, 3,108.64 and 773.12

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Solution

The fourth proportional to 2,071.36, 3,108.64 and 773.12 is: 1,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.36 : 3,108.64 = 773.12 : x
  2. Step 2: Convert to fraction form
    2,071.36/3,108.64 = 773.12/x
  3. Step 3: Cross multiply
    2,071.36x = 3,108.64 × 773.12
  4. Step 4: Simplify right side
    2,071.36x = 2,403,351.76
  5. Step 5: Solve for x
    x = 2,403,351.76/2,071.36
  6. Step 6: Final answer
    x = 1,160.28

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1.5x scale

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.