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Finding the Fourth Proportional to 1,693.24, 2,336.36 and 985.16

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Solution

The fourth proportional to 1,693.24, 2,336.36 and 985.16 is: 1,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.24 : 2,336.36 = 985.16 : x
  2. Step 2: Convert to fraction form
    1,693.24/2,336.36 = 985.16/x
  3. Step 3: Cross multiply
    1,693.24x = 2,336.36 × 985.16
  4. Step 4: Simplify right side
    1,693.24x = 2,301,688.42
  5. Step 5: Solve for x
    x = 2,301,688.42/1,693.24
  6. Step 6: Final answer
    x = 1,359.34

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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.