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Finding the Fourth Proportional to 1,416.78, 1,954.80 and 951.03

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Solution

The fourth proportional to 1,416.78, 1,954.80 and 951.03 is: 1,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.78 : 1,954.80 = 951.03 : x
  2. Step 2: Convert to fraction form
    1,416.78/1,954.80 = 951.03/x
  3. Step 3: Cross multiply
    1,416.78x = 1,954.80 × 951.03
  4. Step 4: Simplify right side
    1,416.78x = 1,859,073.44
  5. Step 5: Solve for x
    x = 1,859,073.44/1,416.78
  6. Step 6: Final answer
    x = 1,312.18

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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.