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Finding the Fourth Proportional to 1,478.76, 2,204.22 and 1,431.60

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Solution

The fourth proportional to 1,478.76, 2,204.22 and 1,431.60 is: 2,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.76 : 2,204.22 = 1,431.60 : x
  2. Step 2: Convert to fraction form
    1,478.76/2,204.22 = 1,431.60/x
  3. Step 3: Cross multiply
    1,478.76x = 2,204.22 × 1,431.60
  4. Step 4: Simplify right side
    1,478.76x = 3,155,561.35
  5. Step 5: Solve for x
    x = 3,155,561.35/1,478.76
  6. Step 6: Final answer
    x = 2,133.92

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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.