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Finding the Fourth Proportional to 1,777.44, 2,455.01 and 1,304.66

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Solution

The fourth proportional to 1,777.44, 2,455.01 and 1,304.66 is: 1,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.44 : 2,455.01 = 1,304.66 : x
  2. Step 2: Convert to fraction form
    1,777.44/2,455.01 = 1,304.66/x
  3. Step 3: Cross multiply
    1,777.44x = 2,455.01 × 1,304.66
  4. Step 4: Simplify right side
    1,777.44x = 3,202,944.04
  5. Step 5: Solve for x
    x = 3,202,944.04/1,777.44
  6. Step 6: Final answer
    x = 1,801.99

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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.