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Finding the Fourth Proportional to 2,346.08, 3,516.86 and 785.22

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Solution

The fourth proportional to 2,346.08, 3,516.86 and 785.22 is: 1,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.08 : 3,516.86 = 785.22 : x
  2. Step 2: Convert to fraction form
    2,346.08/3,516.86 = 785.22/x
  3. Step 3: Cross multiply
    2,346.08x = 3,516.86 × 785.22
  4. Step 4: Simplify right side
    2,346.08x = 2,761,508.81
  5. Step 5: Solve for x
    x = 2,761,508.81/2,346.08
  6. Step 6: Final answer
    x = 1,177.07

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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.