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Finding the Fourth Proportional to 2,165.95, 3,226.76 and 2,061.46

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Solution

The fourth proportional to 2,165.95, 3,226.76 and 2,061.46 is: 3,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.95 : 3,226.76 = 2,061.46 : x
  2. Step 2: Convert to fraction form
    2,165.95/3,226.76 = 2,061.46/x
  3. Step 3: Cross multiply
    2,165.95x = 3,226.76 × 2,061.46
  4. Step 4: Simplify right side
    2,165.95x = 6,651,823.11
  5. Step 5: Solve for x
    x = 6,651,823.11/2,165.95
  6. Step 6: Final answer
    x = 3,071.10

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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.