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Finding the Fourth Proportional to 1,637.11, 2,455.05 and 814.95

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Solution

The fourth proportional to 1,637.11, 2,455.05 and 814.95 is: 1,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.11 : 2,455.05 = 814.95 : x
  2. Step 2: Convert to fraction form
    1,637.11/2,455.05 = 814.95/x
  3. Step 3: Cross multiply
    1,637.11x = 2,455.05 × 814.95
  4. Step 4: Simplify right side
    1,637.11x = 2,000,746.05
  5. Step 5: Solve for x
    x = 2,000,746.05/1,637.11
  6. Step 6: Final answer
    x = 1,222.12

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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.