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Finding the Fourth Proportional to 1,693.00, 2,336.48 and 947.13

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Solution

The fourth proportional to 1,693.00, 2,336.48 and 947.13 is: 1,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.00 : 2,336.48 = 947.13 : x
  2. Step 2: Convert to fraction form
    1,693.00/2,336.48 = 947.13/x
  3. Step 3: Cross multiply
    1,693.00x = 2,336.48 × 947.13
  4. Step 4: Simplify right side
    1,693.00x = 2,212,940.36
  5. Step 5: Solve for x
    x = 2,212,940.36/1,693.00
  6. Step 6: Final answer
    x = 1,307.11

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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.