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Finding the Fourth Proportional to 1,551.46, 2,326.47 and 902.38

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Solution

The fourth proportional to 1,551.46, 2,326.47 and 902.38 is: 1,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.46 : 2,326.47 = 902.38 : x
  2. Step 2: Convert to fraction form
    1,551.46/2,326.47 = 902.38/x
  3. Step 3: Cross multiply
    1,551.46x = 2,326.47 × 902.38
  4. Step 4: Simplify right side
    1,551.46x = 2,099,360.00
  5. Step 5: Solve for x
    x = 2,099,360.00/1,551.46
  6. Step 6: Final answer
    x = 1,353.15

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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.