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Finding the Fourth Proportional to 2,017.83, 2,784.60 and 1,133.63

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Solution

The fourth proportional to 2,017.83, 2,784.60 and 1,133.63 is: 1,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.83 : 2,784.60 = 1,133.63 : x
  2. Step 2: Convert to fraction form
    2,017.83/2,784.60 = 1,133.63/x
  3. Step 3: Cross multiply
    2,017.83x = 2,784.60 × 1,133.63
  4. Step 4: Simplify right side
    2,017.83x = 3,156,702.62
  5. Step 5: Solve for x
    x = 3,156,702.62/2,017.83
  6. Step 6: Final answer
    x = 1,564.40

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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.