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Finding the Fourth Proportional to 2,355.39, 3,530.97 and 895.58

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Solution

The fourth proportional to 2,355.39, 3,530.97 and 895.58 is: 1,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.39 : 3,530.97 = 895.58 : x
  2. Step 2: Convert to fraction form
    2,355.39/3,530.97 = 895.58/x
  3. Step 3: Cross multiply
    2,355.39x = 3,530.97 × 895.58
  4. Step 4: Simplify right side
    2,355.39x = 3,162,248.46
  5. Step 5: Solve for x
    x = 3,162,248.46/2,355.39
  6. Step 6: Final answer
    x = 1,342.56

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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.