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Finding the Fourth Proportional to 2,435.82, 3,655.52 and 875.87

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Solution

The fourth proportional to 2,435.82, 3,655.52 and 875.87 is: 1,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.82 : 3,655.52 = 875.87 : x
  2. Step 2: Convert to fraction form
    2,435.82/3,655.52 = 875.87/x
  3. Step 3: Cross multiply
    2,435.82x = 3,655.52 × 875.87
  4. Step 4: Simplify right side
    2,435.82x = 3,201,737.65
  5. Step 5: Solve for x
    x = 3,201,737.65/2,435.82
  6. Step 6: Final answer
    x = 1,314.44

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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.