Home / 1,693.13-2,336.51-947.03

Finding the Fourth Proportional to 1,693.13, 2,336.51 and 947.03

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Solution

The fourth proportional to 1,693.13, 2,336.51 and 947.03 is: 1,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.13 : 2,336.51 = 947.03 : x
  2. Step 2: Convert to fraction form
    1,693.13/2,336.51 = 947.03/x
  3. Step 3: Cross multiply
    1,693.13x = 2,336.51 × 947.03
  4. Step 4: Simplify right side
    1,693.13x = 2,212,735.75
  5. Step 5: Solve for x
    x = 2,212,735.75/1,693.13
  6. Step 6: Final answer
    x = 1,306.89

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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.