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Finding the Fourth Proportional to 2,017.20, 3,024.76 and 783.24

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Solution

The fourth proportional to 2,017.20, 3,024.76 and 783.24 is: 1,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.20 : 3,024.76 = 783.24 : x
  2. Step 2: Convert to fraction form
    2,017.20/3,024.76 = 783.24/x
  3. Step 3: Cross multiply
    2,017.20x = 3,024.76 × 783.24
  4. Step 4: Simplify right side
    2,017.20x = 2,369,113.02
  5. Step 5: Solve for x
    x = 2,369,113.02/2,017.20
  6. Step 6: Final answer
    x = 1,174.46

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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.