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Finding the Fourth Proportional to 1,905.01, 2,854.57 and 1,321.16

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Solution

The fourth proportional to 1,905.01, 2,854.57 and 1,321.16 is: 1,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.01 : 2,854.57 = 1,321.16 : x
  2. Step 2: Convert to fraction form
    1,905.01/2,854.57 = 1,321.16/x
  3. Step 3: Cross multiply
    1,905.01x = 2,854.57 × 1,321.16
  4. Step 4: Simplify right side
    1,905.01x = 3,771,329.43
  5. Step 5: Solve for x
    x = 3,771,329.43/1,905.01
  6. Step 6: Final answer
    x = 1,979.69

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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.