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Finding the Fourth Proportional to 1,693.04, 2,336.38 and 946.99

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Solution

The fourth proportional to 1,693.04, 2,336.38 and 946.99 is: 1,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.04 : 2,336.38 = 946.99 : x
  2. Step 2: Convert to fraction form
    1,693.04/2,336.38 = 946.99/x
  3. Step 3: Cross multiply
    1,693.04x = 2,336.38 × 946.99
  4. Step 4: Simplify right side
    1,693.04x = 2,212,526.13
  5. Step 5: Solve for x
    x = 2,212,526.13/1,693.04
  6. Step 6: Final answer
    x = 1,306.84

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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.