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Finding the Fourth Proportional to 2,165.56, 3,225.98 and 2,031.10

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Solution

The fourth proportional to 2,165.56, 3,225.98 and 2,031.10 is: 3,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.56 : 3,225.98 = 2,031.10 : x
  2. Step 2: Convert to fraction form
    2,165.56/3,225.98 = 2,031.10/x
  3. Step 3: Cross multiply
    2,165.56x = 3,225.98 × 2,031.10
  4. Step 4: Simplify right side
    2,165.56x = 6,552,284.99
  5. Step 5: Solve for x
    x = 6,552,284.99/2,165.56
  6. Step 6: Final answer
    x = 3,025.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.