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Finding the Fourth Proportional to 1,684.17, 2,323.01 and 985.55

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Solution

The fourth proportional to 1,684.17, 2,323.01 and 985.55 is: 1,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.17 : 2,323.01 = 985.55 : x
  2. Step 2: Convert to fraction form
    1,684.17/2,323.01 = 985.55/x
  3. Step 3: Cross multiply
    1,684.17x = 2,323.01 × 985.55
  4. Step 4: Simplify right side
    1,684.17x = 2,289,433.35
  5. Step 5: Solve for x
    x = 2,289,433.35/1,684.17
  6. Step 6: Final answer
    x = 1,359.38

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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.