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Finding the Fourth Proportional to 1,478.80, 2,220.93 and 1,205.42

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Solution

The fourth proportional to 1,478.80, 2,220.93 and 1,205.42 is: 1,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.80 : 2,220.93 = 1,205.42 : x
  2. Step 2: Convert to fraction form
    1,478.80/2,220.93 = 1,205.42/x
  3. Step 3: Cross multiply
    1,478.80x = 2,220.93 × 1,205.42
  4. Step 4: Simplify right side
    1,478.80x = 2,677,158.99
  5. Step 5: Solve for x
    x = 2,677,158.99/1,478.80
  6. Step 6: Final answer
    x = 1,810.36

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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.