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Finding the Fourth Proportional to 1,934.94, 2,899.47 and 1,283.34

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Solution

The fourth proportional to 1,934.94, 2,899.47 and 1,283.34 is: 1,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.94 : 2,899.47 = 1,283.34 : x
  2. Step 2: Convert to fraction form
    1,934.94/2,899.47 = 1,283.34/x
  3. Step 3: Cross multiply
    1,934.94x = 2,899.47 × 1,283.34
  4. Step 4: Simplify right side
    1,934.94x = 3,721,005.83
  5. Step 5: Solve for x
    x = 3,721,005.83/1,934.94
  6. Step 6: Final answer
    x = 1,923.06

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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.