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Finding the Fourth Proportional to 2,513.60, 3,764.64 and 2,458.88

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Solution

The fourth proportional to 2,513.60, 3,764.64 and 2,458.88 is: 3,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.60 : 3,764.64 = 2,458.88 : x
  2. Step 2: Convert to fraction form
    2,513.60/3,764.64 = 2,458.88/x
  3. Step 3: Cross multiply
    2,513.60x = 3,764.64 × 2,458.88
  4. Step 4: Simplify right side
    2,513.60x = 9,256,798.00
  5. Step 5: Solve for x
    x = 9,256,798.00/2,513.60
  6. Step 6: Final answer
    x = 3,682.69

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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.