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Finding the Fourth Proportional to 1,901.60, 2,852.40 and 806.75

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Solution

The fourth proportional to 1,901.60, 2,852.40 and 806.75 is: 1,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.60 : 2,852.40 = 806.75 : x
  2. Step 2: Convert to fraction form
    1,901.60/2,852.40 = 806.75/x
  3. Step 3: Cross multiply
    1,901.60x = 2,852.40 × 806.75
  4. Step 4: Simplify right side
    1,901.60x = 2,301,173.70
  5. Step 5: Solve for x
    x = 2,301,173.70/1,901.60
  6. Step 6: Final answer
    x = 1,210.13

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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.