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Finding the Fourth Proportional to 2,358.54, 3,535.14 and 1,186.68

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Solution

The fourth proportional to 2,358.54, 3,535.14 and 1,186.68 is: 1,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.54 : 3,535.14 = 1,186.68 : x
  2. Step 2: Convert to fraction form
    2,358.54/3,535.14 = 1,186.68/x
  3. Step 3: Cross multiply
    2,358.54x = 3,535.14 × 1,186.68
  4. Step 4: Simplify right side
    2,358.54x = 4,195,079.94
  5. Step 5: Solve for x
    x = 4,195,079.94/2,358.54
  6. Step 6: Final answer
    x = 1,778.68

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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.