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Finding the Fourth Proportional to 3,133.52, 4,698.78 and 1,283.10

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Solution

The fourth proportional to 3,133.52, 4,698.78 and 1,283.10 is: 1,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.52 : 4,698.78 = 1,283.10 : x
  2. Step 2: Convert to fraction form
    3,133.52/4,698.78 = 1,283.10/x
  3. Step 3: Cross multiply
    3,133.52x = 4,698.78 × 1,283.10
  4. Step 4: Simplify right side
    3,133.52x = 6,029,004.62
  5. Step 5: Solve for x
    x = 6,029,004.62/3,133.52
  6. Step 6: Final answer
    x = 1,924.04

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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.