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Finding the Fourth Proportional to 2,355.05, 3,533.13 and 711.61

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Solution

The fourth proportional to 2,355.05, 3,533.13 and 711.61 is: 1,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.05 : 3,533.13 = 711.61 : x
  2. Step 2: Convert to fraction form
    2,355.05/3,533.13 = 711.61/x
  3. Step 3: Cross multiply
    2,355.05x = 3,533.13 × 711.61
  4. Step 4: Simplify right side
    2,355.05x = 2,514,210.64
  5. Step 5: Solve for x
    x = 2,514,210.64/2,355.05
  6. Step 6: Final answer
    x = 1,067.58

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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.