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Finding the Fourth Proportional to 2,977.40, 4,498.04 and 2,977.40

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Solution

The fourth proportional to 2,977.40, 4,498.04 and 2,977.40 is: 4,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.40 : 4,498.04 = 2,977.40 : x
  2. Step 2: Convert to fraction form
    2,977.40/4,498.04 = 2,977.40/x
  3. Step 3: Cross multiply
    2,977.40x = 4,498.04 × 2,977.40
  4. Step 4: Simplify right side
    2,977.40x = 13,392,464.30
  5. Step 5: Solve for x
    x = 13,392,464.30/2,977.40
  6. Step 6: Final answer
    x = 4,498.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.