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Finding the Fourth Proportional to 2,017.36, 2,784.05 and 1,271.22

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Solution

The fourth proportional to 2,017.36, 2,784.05 and 1,271.22 is: 1,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.36 : 2,784.05 = 1,271.22 : x
  2. Step 2: Convert to fraction form
    2,017.36/2,784.05 = 1,271.22/x
  3. Step 3: Cross multiply
    2,017.36x = 2,784.05 × 1,271.22
  4. Step 4: Simplify right side
    2,017.36x = 3,539,140.04
  5. Step 5: Solve for x
    x = 3,539,140.04/2,017.36
  6. Step 6: Final answer
    x = 1,754.34

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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.