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Finding the Fourth Proportional to 2,803.19, 4,204.08 and 954.25

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Solution

The fourth proportional to 2,803.19, 4,204.08 and 954.25 is: 1,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.19 : 4,204.08 = 954.25 : x
  2. Step 2: Convert to fraction form
    2,803.19/4,204.08 = 954.25/x
  3. Step 3: Cross multiply
    2,803.19x = 4,204.08 × 954.25
  4. Step 4: Simplify right side
    2,803.19x = 4,011,732.83
  5. Step 5: Solve for x
    x = 4,011,732.83/2,803.19
  6. Step 6: Final answer
    x = 1,431.13

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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.