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Finding the Fourth Proportional to 2,071.98, 2,859.10 and 1,188.07

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Solution

The fourth proportional to 2,071.98, 2,859.10 and 1,188.07 is: 1,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.98 : 2,859.10 = 1,188.07 : x
  2. Step 2: Convert to fraction form
    2,071.98/2,859.10 = 1,188.07/x
  3. Step 3: Cross multiply
    2,071.98x = 2,859.10 × 1,188.07
  4. Step 4: Simplify right side
    2,071.98x = 3,396,800.82
  5. Step 5: Solve for x
    x = 3,396,800.82/2,071.98
  6. Step 6: Final answer
    x = 1,639.40

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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.