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Finding the Fourth Proportional to 2,363.91, 3,259.14 and 2,031.60

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Solution

The fourth proportional to 2,363.91, 3,259.14 and 2,031.60 is: 2,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.91 : 3,259.14 = 2,031.60 : x
  2. Step 2: Convert to fraction form
    2,363.91/3,259.14 = 2,031.60/x
  3. Step 3: Cross multiply
    2,363.91x = 3,259.14 × 2,031.60
  4. Step 4: Simplify right side
    2,363.91x = 6,621,268.82
  5. Step 5: Solve for x
    x = 6,621,268.82/2,363.91
  6. Step 6: Final answer
    x = 2,800.98

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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.