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Finding the Fourth Proportional to 2,017.02, 3,024.24 and 783.12

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Solution

The fourth proportional to 2,017.02, 3,024.24 and 783.12 is: 1,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.02 : 3,024.24 = 783.12 : x
  2. Step 2: Convert to fraction form
    2,017.02/3,024.24 = 783.12/x
  3. Step 3: Cross multiply
    2,017.02x = 3,024.24 × 783.12
  4. Step 4: Simplify right side
    2,017.02x = 2,368,323.79
  5. Step 5: Solve for x
    x = 2,368,323.79/2,017.02
  6. Step 6: Final answer
    x = 1,174.17

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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.