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Finding the Fourth Proportional to 2,071.56, 2,859.87 and 1,326.16

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Solution

The fourth proportional to 2,071.56, 2,859.87 and 1,326.16 is: 1,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.56 : 2,859.87 = 1,326.16 : x
  2. Step 2: Convert to fraction form
    2,071.56/2,859.87 = 1,326.16/x
  3. Step 3: Cross multiply
    2,071.56x = 2,859.87 × 1,326.16
  4. Step 4: Simplify right side
    2,071.56x = 3,792,645.20
  5. Step 5: Solve for x
    x = 3,792,645.20/2,071.56
  6. Step 6: Final answer
    x = 1,830.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.