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Finding the Fourth Proportional to 1,639.11, 2,261.93 and 893.07

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Solution

The fourth proportional to 1,639.11, 2,261.93 and 893.07 is: 1,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.11 : 2,261.93 = 893.07 : x
  2. Step 2: Convert to fraction form
    1,639.11/2,261.93 = 893.07/x
  3. Step 3: Cross multiply
    1,639.11x = 2,261.93 × 893.07
  4. Step 4: Simplify right side
    1,639.11x = 2,020,061.83
  5. Step 5: Solve for x
    x = 2,020,061.83/1,639.11
  6. Step 6: Final answer
    x = 1,232.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.