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Finding the Fourth Proportional to 2,222.70, 3,068.40 and 1,477.90

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Solution

The fourth proportional to 2,222.70, 3,068.40 and 1,477.90 is: 2,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.70 : 3,068.40 = 1,477.90 : x
  2. Step 2: Convert to fraction form
    2,222.70/3,068.40 = 1,477.90/x
  3. Step 3: Cross multiply
    2,222.70x = 3,068.40 × 1,477.90
  4. Step 4: Simplify right side
    2,222.70x = 4,534,788.36
  5. Step 5: Solve for x
    x = 4,534,788.36/2,222.70
  6. Step 6: Final answer
    x = 2,040.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.