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Finding the Fourth Proportional to 1,406.60, 2,099.86 and 1,222.12

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Solution

The fourth proportional to 1,406.60, 2,099.86 and 1,222.12 is: 1,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.60 : 2,099.86 = 1,222.12 : x
  2. Step 2: Convert to fraction form
    1,406.60/2,099.86 = 1,222.12/x
  3. Step 3: Cross multiply
    1,406.60x = 2,099.86 × 1,222.12
  4. Step 4: Simplify right side
    1,406.60x = 2,566,280.47
  5. Step 5: Solve for x
    x = 2,566,280.47/1,406.60
  6. Step 6: Final answer
    x = 1,824.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.