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Finding the Fourth Proportional to 1,439.39, 1,985.73 and 941.16

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Solution

The fourth proportional to 1,439.39, 1,985.73 and 941.16 is: 1,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.39 : 1,985.73 = 941.16 : x
  2. Step 2: Convert to fraction form
    1,439.39/1,985.73 = 941.16/x
  3. Step 3: Cross multiply
    1,439.39x = 1,985.73 × 941.16
  4. Step 4: Simplify right side
    1,439.39x = 1,868,879.72
  5. Step 5: Solve for x
    x = 1,868,879.72/1,439.39
  6. Step 6: Final answer
    x = 1,298.39

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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.