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Finding the Fourth Proportional to 2,210.61, 3,316.13 and 805.41

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Solution

The fourth proportional to 2,210.61, 3,316.13 and 805.41 is: 1,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.61 : 3,316.13 = 805.41 : x
  2. Step 2: Convert to fraction form
    2,210.61/3,316.13 = 805.41/x
  3. Step 3: Cross multiply
    2,210.61x = 3,316.13 × 805.41
  4. Step 4: Simplify right side
    2,210.61x = 2,670,845.52
  5. Step 5: Solve for x
    x = 2,670,845.52/2,210.61
  6. Step 6: Final answer
    x = 1,208.19

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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.