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Finding the Fourth Proportional to 2,071.71, 3,110.28 and 1,899.78

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Solution

The fourth proportional to 2,071.71, 3,110.28 and 1,899.78 is: 2,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.71 : 3,110.28 = 1,899.78 : x
  2. Step 2: Convert to fraction form
    2,071.71/3,110.28 = 1,899.78/x
  3. Step 3: Cross multiply
    2,071.71x = 3,110.28 × 1,899.78
  4. Step 4: Simplify right side
    2,071.71x = 5,908,847.74
  5. Step 5: Solve for x
    x = 5,908,847.74/2,071.71
  6. Step 6: Final answer
    x = 2,852.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.