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Finding the Fourth Proportional to 2,135.80, 2,946.90 and 1,204.12

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Solution

The fourth proportional to 2,135.80, 2,946.90 and 1,204.12 is: 1,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.80 : 2,946.90 = 1,204.12 : x
  2. Step 2: Convert to fraction form
    2,135.80/2,946.90 = 1,204.12/x
  3. Step 3: Cross multiply
    2,135.80x = 2,946.90 × 1,204.12
  4. Step 4: Simplify right side
    2,135.80x = 3,548,421.23
  5. Step 5: Solve for x
    x = 3,548,421.23/2,135.80
  6. Step 6: Final answer
    x = 1,661.40

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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.