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Finding the Fourth Proportional to 2,903.16, 4,353.12 and 954.84

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Solution

The fourth proportional to 2,903.16, 4,353.12 and 954.84 is: 1,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.16 : 4,353.12 = 954.84 : x
  2. Step 2: Convert to fraction form
    2,903.16/4,353.12 = 954.84/x
  3. Step 3: Cross multiply
    2,903.16x = 4,353.12 × 954.84
  4. Step 4: Simplify right side
    2,903.16x = 4,156,533.10
  5. Step 5: Solve for x
    x = 4,156,533.10/2,903.16
  6. Step 6: Final answer
    x = 1,431.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.