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Finding the Fourth Proportional to 2,210.02, 3,315.43 and 910.78

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Solution

The fourth proportional to 2,210.02, 3,315.43 and 910.78 is: 1,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.02 : 3,315.43 = 910.78 : x
  2. Step 2: Convert to fraction form
    2,210.02/3,315.43 = 910.78/x
  3. Step 3: Cross multiply
    2,210.02x = 3,315.43 × 910.78
  4. Step 4: Simplify right side
    2,210.02x = 3,019,627.34
  5. Step 5: Solve for x
    x = 3,019,627.34/2,210.02
  6. Step 6: Final answer
    x = 1,366.33

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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.