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Finding the Fourth Proportional to 2,194.95, 3,031.55 and 1,600.10

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Solution

The fourth proportional to 2,194.95, 3,031.55 and 1,600.10 is: 2,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.95 : 3,031.55 = 1,600.10 : x
  2. Step 2: Convert to fraction form
    2,194.95/3,031.55 = 1,600.10/x
  3. Step 3: Cross multiply
    2,194.95x = 3,031.55 × 1,600.10
  4. Step 4: Simplify right side
    2,194.95x = 4,850,760.00
  5. Step 5: Solve for x
    x = 4,850,760.00/2,194.95
  6. Step 6: Final answer
    x = 2,209.96

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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.