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Finding the Fourth Proportional to 1,736.99, 2,397.04 and 951.06

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Solution

The fourth proportional to 1,736.99, 2,397.04 and 951.06 is: 1,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.99 : 2,397.04 = 951.06 : x
  2. Step 2: Convert to fraction form
    1,736.99/2,397.04 = 951.06/x
  3. Step 3: Cross multiply
    1,736.99x = 2,397.04 × 951.06
  4. Step 4: Simplify right side
    1,736.99x = 2,279,726.48
  5. Step 5: Solve for x
    x = 2,279,726.48/1,736.99
  6. Step 6: Final answer
    x = 1,312.46

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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.