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Finding the Fourth Proportional to 2,358.39, 3,537.62 and 715.35

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Solution

The fourth proportional to 2,358.39, 3,537.62 and 715.35 is: 1,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.39 : 3,537.62 = 715.35 : x
  2. Step 2: Convert to fraction form
    2,358.39/3,537.62 = 715.35/x
  3. Step 3: Cross multiply
    2,358.39x = 3,537.62 × 715.35
  4. Step 4: Simplify right side
    2,358.39x = 2,530,632.89
  5. Step 5: Solve for x
    x = 2,530,632.89/2,358.39
  6. Step 6: Final answer
    x = 1,073.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.