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Finding the Fourth Proportional to 1,877.21, 2,815.61 and 490.69

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Solution

The fourth proportional to 1,877.21, 2,815.61 and 490.69 is: 735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.21 : 2,815.61 = 490.69 : x
  2. Step 2: Convert to fraction form
    1,877.21/2,815.61 = 490.69/x
  3. Step 3: Cross multiply
    1,877.21x = 2,815.61 × 490.69
  4. Step 4: Simplify right side
    1,877.21x = 1,381,582.18
  5. Step 5: Solve for x
    x = 1,381,582.18/1,877.21
  6. Step 6: Final answer
    x = 735.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.