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Finding the Fourth Proportional to 2,037.29, 2,809.50 and 1,289.89

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Solution

The fourth proportional to 2,037.29, 2,809.50 and 1,289.89 is: 1,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.29 : 2,809.50 = 1,289.89 : x
  2. Step 2: Convert to fraction form
    2,037.29/2,809.50 = 1,289.89/x
  3. Step 3: Cross multiply
    2,037.29x = 2,809.50 × 1,289.89
  4. Step 4: Simplify right side
    2,037.29x = 3,623,931.91
  5. Step 5: Solve for x
    x = 3,623,931.91/2,037.29
  6. Step 6: Final answer
    x = 1,778.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.