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Finding the Fourth Proportional to 2,017.78, 2,783.24 and 1,271.10

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Solution

The fourth proportional to 2,017.78, 2,783.24 and 1,271.10 is: 1,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.78 : 2,783.24 = 1,271.10 : x
  2. Step 2: Convert to fraction form
    2,017.78/2,783.24 = 1,271.10/x
  3. Step 3: Cross multiply
    2,017.78x = 2,783.24 × 1,271.10
  4. Step 4: Simplify right side
    2,017.78x = 3,537,776.36
  5. Step 5: Solve for x
    x = 3,537,776.36/2,017.78
  6. Step 6: Final answer
    x = 1,753.30

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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.