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Finding the Fourth Proportional to 2,365.85, 3,548.97 and 806.93

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Solution

The fourth proportional to 2,365.85, 3,548.97 and 806.93 is: 1,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.85 : 3,548.97 = 806.93 : x
  2. Step 2: Convert to fraction form
    2,365.85/3,548.97 = 806.93/x
  3. Step 3: Cross multiply
    2,365.85x = 3,548.97 × 806.93
  4. Step 4: Simplify right side
    2,365.85x = 2,863,752.62
  5. Step 5: Solve for x
    x = 2,863,752.62/2,365.85
  6. Step 6: Final answer
    x = 1,210.46

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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.