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Finding the Fourth Proportional to 2,210.25, 3,314.85 and 649.83

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Solution

The fourth proportional to 2,210.25, 3,314.85 and 649.83 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.25 : 3,314.85 = 649.83 : x
  2. Step 2: Convert to fraction form
    2,210.25/3,314.85 = 649.83/x
  3. Step 3: Cross multiply
    2,210.25x = 3,314.85 × 649.83
  4. Step 4: Simplify right side
    2,210.25x = 2,154,088.98
  5. Step 5: Solve for x
    x = 2,154,088.98/2,210.25
  6. Step 6: Final answer
    x = 974.59

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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.