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Finding the Fourth Proportional to 2,017.77, 3,025.64 and 922.91

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Solution

The fourth proportional to 2,017.77, 3,025.64 and 922.91 is: 1,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.77 : 3,025.64 = 922.91 : x
  2. Step 2: Convert to fraction form
    2,017.77/3,025.64 = 922.91/x
  3. Step 3: Cross multiply
    2,017.77x = 3,025.64 × 922.91
  4. Step 4: Simplify right side
    2,017.77x = 2,792,373.67
  5. Step 5: Solve for x
    x = 2,792,373.67/2,017.77
  6. Step 6: Final answer
    x = 1,383.89

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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.