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Finding the Fourth Proportional to 2,497.69, 3,743.69 and 1,561.07

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Solution

The fourth proportional to 2,497.69, 3,743.69 and 1,561.07 is: 2,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.69 : 3,743.69 = 1,561.07 : x
  2. Step 2: Convert to fraction form
    2,497.69/3,743.69 = 1,561.07/x
  3. Step 3: Cross multiply
    2,497.69x = 3,743.69 × 1,561.07
  4. Step 4: Simplify right side
    2,497.69x = 5,844,151.42
  5. Step 5: Solve for x
    x = 5,844,151.42/2,497.69
  6. Step 6: Final answer
    x = 2,339.82

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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.