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Finding the Fourth Proportional to 2,210.22, 3,315.75 and 650.22

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Solution

The fourth proportional to 2,210.22, 3,315.75 and 650.22 is: 975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.22 : 3,315.75 = 650.22 : x
  2. Step 2: Convert to fraction form
    2,210.22/3,315.75 = 650.22/x
  3. Step 3: Cross multiply
    2,210.22x = 3,315.75 × 650.22
  4. Step 4: Simplify right side
    2,210.22x = 2,155,966.97
  5. Step 5: Solve for x
    x = 2,155,966.97/2,210.22
  6. Step 6: Final answer
    x = 975.45

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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.