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Finding the Fourth Proportional to 2,454.72, 3,682.08 and 1,428

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Solution

The fourth proportional to 2,454.72, 3,682.08 and 1,428 is: 2,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.72 : 3,682.08 = 1,428 : x
  2. Step 2: Convert to fraction form
    2,454.72/3,682.08 = 1,428/x
  3. Step 3: Cross multiply
    2,454.72x = 3,682.08 × 1,428
  4. Step 4: Simplify right side
    2,454.72x = 5,258,010.24
  5. Step 5: Solve for x
    x = 5,258,010.24/2,454.72
  6. Step 6: Final answer
    x = 2,142.00

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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.