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Finding the Fourth Proportional to 2,071.30, 3,106.95 and 611.48

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Solution

The fourth proportional to 2,071.30, 3,106.95 and 611.48 is: 917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.30 : 3,106.95 = 611.48 : x
  2. Step 2: Convert to fraction form
    2,071.30/3,106.95 = 611.48/x
  3. Step 3: Cross multiply
    2,071.30x = 3,106.95 × 611.48
  4. Step 4: Simplify right side
    2,071.30x = 1,899,837.79
  5. Step 5: Solve for x
    x = 1,899,837.79/2,071.30
  6. Step 6: Final answer
    x = 917.22

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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.