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Finding the Fourth Proportional to 2,037.48, 2,810.82 and 1,209

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Solution

The fourth proportional to 2,037.48, 2,810.82 and 1,209 is: 1,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.48 : 2,810.82 = 1,209 : x
  2. Step 2: Convert to fraction form
    2,037.48/2,810.82 = 1,209/x
  3. Step 3: Cross multiply
    2,037.48x = 2,810.82 × 1,209
  4. Step 4: Simplify right side
    2,037.48x = 3,398,281.38
  5. Step 5: Solve for x
    x = 3,398,281.38/2,037.48
  6. Step 6: Final answer
    x = 1,667.88

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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.