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Finding the Fourth Proportional to 2,210.11, 3,315.14 and 566.65

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Solution

The fourth proportional to 2,210.11, 3,315.14 and 566.65 is: 849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.11 : 3,315.14 = 566.65 : x
  2. Step 2: Convert to fraction form
    2,210.11/3,315.14 = 566.65/x
  3. Step 3: Cross multiply
    2,210.11x = 3,315.14 × 566.65
  4. Step 4: Simplify right side
    2,210.11x = 1,878,512.96
  5. Step 5: Solve for x
    x = 1,878,512.96/2,210.11
  6. Step 6: Final answer
    x = 849.96

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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.