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Finding the Fourth Proportional to 1,637.95, 2,262.12 and 1,464.15

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Solution

The fourth proportional to 1,637.95, 2,262.12 and 1,464.15 is: 2,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.95 : 2,262.12 = 1,464.15 : x
  2. Step 2: Convert to fraction form
    1,637.95/2,262.12 = 1,464.15/x
  3. Step 3: Cross multiply
    1,637.95x = 2,262.12 × 1,464.15
  4. Step 4: Simplify right side
    1,637.95x = 3,312,083.00
  5. Step 5: Solve for x
    x = 3,312,083.00/1,637.95
  6. Step 6: Final answer
    x = 2,022.09

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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.