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Finding the Fourth Proportional to 2,804.97, 3,871.07 and 1,859.16

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Solution

The fourth proportional to 2,804.97, 3,871.07 and 1,859.16 is: 2,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.97 : 3,871.07 = 1,859.16 : x
  2. Step 2: Convert to fraction form
    2,804.97/3,871.07 = 1,859.16/x
  3. Step 3: Cross multiply
    2,804.97x = 3,871.07 × 1,859.16
  4. Step 4: Simplify right side
    2,804.97x = 7,196,938.50
  5. Step 5: Solve for x
    x = 7,196,938.50/2,804.97
  6. Step 6: Final answer
    x = 2,565.78

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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.