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Finding the Fourth Proportional to 1,905.36, 2,854.20 and 1,133.52

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Solution

The fourth proportional to 1,905.36, 2,854.20 and 1,133.52 is: 1,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.36 : 2,854.20 = 1,133.52 : x
  2. Step 2: Convert to fraction form
    1,905.36/2,854.20 = 1,133.52/x
  3. Step 3: Cross multiply
    1,905.36x = 2,854.20 × 1,133.52
  4. Step 4: Simplify right side
    1,905.36x = 3,235,292.78
  5. Step 5: Solve for x
    x = 3,235,292.78/1,905.36
  6. Step 6: Final answer
    x = 1,698.00

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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.