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Finding the Fourth Proportional to 2,017.79, 2,783.26 and 1,271.11

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Solution

The fourth proportional to 2,017.79, 2,783.26 and 1,271.11 is: 1,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.79 : 2,783.26 = 1,271.11 : x
  2. Step 2: Convert to fraction form
    2,017.79/2,783.26 = 1,271.11/x
  3. Step 3: Cross multiply
    2,017.79x = 2,783.26 × 1,271.11
  4. Step 4: Simplify right side
    2,017.79x = 3,537,829.62
  5. Step 5: Solve for x
    x = 3,537,829.62/2,017.79
  6. Step 6: Final answer
    x = 1,753.32

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Why These Related Problems?

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