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Finding the Fourth Proportional to 3,131.84, 4,695.33 and 1,283.42

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Solution

The fourth proportional to 3,131.84, 4,695.33 and 1,283.42 is: 1,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.84 : 4,695.33 = 1,283.42 : x
  2. Step 2: Convert to fraction form
    3,131.84/4,695.33 = 1,283.42/x
  3. Step 3: Cross multiply
    3,131.84x = 4,695.33 × 1,283.42
  4. Step 4: Simplify right side
    3,131.84x = 6,026,080.43
  5. Step 5: Solve for x
    x = 6,026,080.43/3,131.84
  6. Step 6: Final answer
    x = 1,924.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.