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Finding the Fourth Proportional to 1,601.79, 2,210.39 and 893.71

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Solution

The fourth proportional to 1,601.79, 2,210.39 and 893.71 is: 1,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.79 : 2,210.39 = 893.71 : x
  2. Step 2: Convert to fraction form
    1,601.79/2,210.39 = 893.71/x
  3. Step 3: Cross multiply
    1,601.79x = 2,210.39 × 893.71
  4. Step 4: Simplify right side
    1,601.79x = 1,975,447.65
  5. Step 5: Solve for x
    x = 1,975,447.65/1,601.79
  6. Step 6: Final answer
    x = 1,233.28

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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.