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Finding the Fourth Proportional to 2,846.64, 4,270.53 and 1,203.18

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Solution

The fourth proportional to 2,846.64, 4,270.53 and 1,203.18 is: 1,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.64 : 4,270.53 = 1,203.18 : x
  2. Step 2: Convert to fraction form
    2,846.64/4,270.53 = 1,203.18/x
  3. Step 3: Cross multiply
    2,846.64x = 4,270.53 × 1,203.18
  4. Step 4: Simplify right side
    2,846.64x = 5,138,216.29
  5. Step 5: Solve for x
    x = 5,138,216.29/2,846.64
  6. Step 6: Final answer
    x = 1,805.01

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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.