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Finding the Fourth Proportional to 2,186.34, 3,277.96 and 705.10

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Solution

The fourth proportional to 2,186.34, 3,277.96 and 705.10 is: 1,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.34 : 3,277.96 = 705.10 : x
  2. Step 2: Convert to fraction form
    2,186.34/3,277.96 = 705.10/x
  3. Step 3: Cross multiply
    2,186.34x = 3,277.96 × 705.10
  4. Step 4: Simplify right side
    2,186.34x = 2,311,298.08
  5. Step 5: Solve for x
    x = 2,311,298.08/2,186.34
  6. Step 6: Final answer
    x = 1,057.15

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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.