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Finding the Fourth Proportional to 1,905.27, 2,852.52 and 1,210.22

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Solution

The fourth proportional to 1,905.27, 2,852.52 and 1,210.22 is: 1,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.27 : 2,852.52 = 1,210.22 : x
  2. Step 2: Convert to fraction form
    1,905.27/2,852.52 = 1,210.22/x
  3. Step 3: Cross multiply
    1,905.27x = 2,852.52 × 1,210.22
  4. Step 4: Simplify right side
    1,905.27x = 3,452,160.63
  5. Step 5: Solve for x
    x = 3,452,160.63/1,905.27
  6. Step 6: Final answer
    x = 1,811.90

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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.