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Finding the Fourth Proportional to 1,901.87, 2,852.90 and 805.13

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Solution

The fourth proportional to 1,901.87, 2,852.90 and 805.13 is: 1,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.87 : 2,852.90 = 805.13 : x
  2. Step 2: Convert to fraction form
    1,901.87/2,852.90 = 805.13/x
  3. Step 3: Cross multiply
    1,901.87x = 2,852.90 × 805.13
  4. Step 4: Simplify right side
    1,901.87x = 2,296,955.38
  5. Step 5: Solve for x
    x = 2,296,955.38/1,901.87
  6. Step 6: Final answer
    x = 1,207.74

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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.