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Finding the Fourth Proportional to 2,017, 2,784.09 and 1,133.11

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Solution

The fourth proportional to 2,017, 2,784.09 and 1,133.11 is: 1,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017 : 2,784.09 = 1,133.11 : x
  2. Step 2: Convert to fraction form
    2,017/2,784.09 = 1,133.11/x
  3. Step 3: Cross multiply
    2,017x = 2,784.09 × 1,133.11
  4. Step 4: Simplify right side
    2,017x = 3,154,680.22
  5. Step 5: Solve for x
    x = 3,154,680.22/2,017
  6. Step 6: Final answer
    x = 1,564.05

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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.