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Finding the Fourth Proportional to 1,632.71, 2,436.14 and 1,477.19

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Solution

The fourth proportional to 1,632.71, 2,436.14 and 1,477.19 is: 2,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.71 : 2,436.14 = 1,477.19 : x
  2. Step 2: Convert to fraction form
    1,632.71/2,436.14 = 1,477.19/x
  3. Step 3: Cross multiply
    1,632.71x = 2,436.14 × 1,477.19
  4. Step 4: Simplify right side
    1,632.71x = 3,598,622.08
  5. Step 5: Solve for x
    x = 3,598,622.08/1,632.71
  6. Step 6: Final answer
    x = 2,204.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.