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Finding the Fourth Proportional to 2,188.18, 3,282.27 and 649.06

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Solution

The fourth proportional to 2,188.18, 3,282.27 and 649.06 is: 973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.18 : 3,282.27 = 649.06 : x
  2. Step 2: Convert to fraction form
    2,188.18/3,282.27 = 649.06/x
  3. Step 3: Cross multiply
    2,188.18x = 3,282.27 × 649.06
  4. Step 4: Simplify right side
    2,188.18x = 2,130,390.17
  5. Step 5: Solve for x
    x = 2,130,390.17/2,188.18
  6. Step 6: Final answer
    x = 973.59

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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.