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Finding the Fourth Proportional to 2,210.02, 3,315.10 and 650.08

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Solution

The fourth proportional to 2,210.02, 3,315.10 and 650.08 is: 975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.02 : 3,315.10 = 650.08 : x
  2. Step 2: Convert to fraction form
    2,210.02/3,315.10 = 650.08/x
  3. Step 3: Cross multiply
    2,210.02x = 3,315.10 × 650.08
  4. Step 4: Simplify right side
    2,210.02x = 2,155,080.21
  5. Step 5: Solve for x
    x = 2,155,080.21/2,210.02
  6. Step 6: Final answer
    x = 975.14

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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.