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Finding the Fourth Proportional to 2,358.55, 3,537.98 and 715.23

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Solution

The fourth proportional to 2,358.55, 3,537.98 and 715.23 is: 1,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.55 : 3,537.98 = 715.23 : x
  2. Step 2: Convert to fraction form
    2,358.55/3,537.98 = 715.23/x
  3. Step 3: Cross multiply
    2,358.55x = 3,537.98 × 715.23
  4. Step 4: Simplify right side
    2,358.55x = 2,530,468.54
  5. Step 5: Solve for x
    x = 2,530,468.54/2,358.55
  6. Step 6: Final answer
    x = 1,072.89

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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.