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Finding the Fourth Proportional to 2,017.92, 2,784.92 and 1,133.68

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Solution

The fourth proportional to 2,017.92, 2,784.92 and 1,133.68 is: 1,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.92 : 2,784.92 = 1,133.68 : x
  2. Step 2: Convert to fraction form
    2,017.92/2,784.92 = 1,133.68/x
  3. Step 3: Cross multiply
    2,017.92x = 2,784.92 × 1,133.68
  4. Step 4: Simplify right side
    2,017.92x = 3,157,208.11
  5. Step 5: Solve for x
    x = 3,157,208.11/2,017.92
  6. Step 6: Final answer
    x = 1,564.59

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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.