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Finding the Fourth Proportional to 2,017, 2,783.53 and 1,177.57

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Solution

The fourth proportional to 2,017, 2,783.53 and 1,177.57 is: 1,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017 : 2,783.53 = 1,177.57 : x
  2. Step 2: Convert to fraction form
    2,017/2,783.53 = 1,177.57/x
  3. Step 3: Cross multiply
    2,017x = 2,783.53 × 1,177.57
  4. Step 4: Simplify right side
    2,017x = 3,277,801.42
  5. Step 5: Solve for x
    x = 3,277,801.42/2,017
  6. Step 6: Final answer
    x = 1,625.09

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1.5x scale

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.