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Finding the Fourth Proportional to 1,864.35, 2,797.70 and 1,085.90

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Solution

The fourth proportional to 1,864.35, 2,797.70 and 1,085.90 is: 1,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.35 : 2,797.70 = 1,085.90 : x
  2. Step 2: Convert to fraction form
    1,864.35/2,797.70 = 1,085.90/x
  3. Step 3: Cross multiply
    1,864.35x = 2,797.70 × 1,085.90
  4. Step 4: Simplify right side
    1,864.35x = 3,038,003.01
  5. Step 5: Solve for x
    x = 3,038,003.01/1,864.35
  6. Step 6: Final answer
    x = 1,629.52

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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.