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Finding the Fourth Proportional to 1,781.67, 2,458.71 and 984.99

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Solution

The fourth proportional to 1,781.67, 2,458.71 and 984.99 is: 1,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.67 : 2,458.71 = 984.99 : x
  2. Step 2: Convert to fraction form
    1,781.67/2,458.71 = 984.99/x
  3. Step 3: Cross multiply
    1,781.67x = 2,458.71 × 984.99
  4. Step 4: Simplify right side
    1,781.67x = 2,421,804.76
  5. Step 5: Solve for x
    x = 2,421,804.76/1,781.67
  6. Step 6: Final answer
    x = 1,359.29

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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.