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Finding the Fourth Proportional to 2,345.09, 3,516.22 and 1,613.87

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Solution

The fourth proportional to 2,345.09, 3,516.22 and 1,613.87 is: 2,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.09 : 3,516.22 = 1,613.87 : x
  2. Step 2: Convert to fraction form
    2,345.09/3,516.22 = 1,613.87/x
  3. Step 3: Cross multiply
    2,345.09x = 3,516.22 × 1,613.87
  4. Step 4: Simplify right side
    2,345.09x = 5,674,700.36
  5. Step 5: Solve for x
    x = 5,674,700.36/2,345.09
  6. Step 6: Final answer
    x = 2,419.82

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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.