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Finding the Fourth Proportional to 2,903.76, 4,353.12 and 1,442.16

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Solution

The fourth proportional to 2,903.76, 4,353.12 and 1,442.16 is: 2,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.76 : 4,353.12 = 1,442.16 : x
  2. Step 2: Convert to fraction form
    2,903.76/4,353.12 = 1,442.16/x
  3. Step 3: Cross multiply
    2,903.76x = 4,353.12 × 1,442.16
  4. Step 4: Simplify right side
    2,903.76x = 6,277,895.54
  5. Step 5: Solve for x
    x = 6,277,895.54/2,903.76
  6. Step 6: Final answer
    x = 2,161.99

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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.