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Finding the Fourth Proportional to 2,425.48, 3,640.04 and 1,777.88

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Solution

The fourth proportional to 2,425.48, 3,640.04 and 1,777.88 is: 2,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.48 : 3,640.04 = 1,777.88 : x
  2. Step 2: Convert to fraction form
    2,425.48/3,640.04 = 1,777.88/x
  3. Step 3: Cross multiply
    2,425.48x = 3,640.04 × 1,777.88
  4. Step 4: Simplify right side
    2,425.48x = 6,471,561.19
  5. Step 5: Solve for x
    x = 6,471,561.19/2,425.48
  6. Step 6: Final answer
    x = 2,668.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.