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Finding the Fourth Proportional to 2,358.55, 3,538.38 and 715.11

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Solution

The fourth proportional to 2,358.55, 3,538.38 and 715.11 is: 1,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.55 : 3,538.38 = 715.11 : x
  2. Step 2: Convert to fraction form
    2,358.55/3,538.38 = 715.11/x
  3. Step 3: Cross multiply
    2,358.55x = 3,538.38 × 715.11
  4. Step 4: Simplify right side
    2,358.55x = 2,530,330.92
  5. Step 5: Solve for x
    x = 2,530,330.92/2,358.55
  6. Step 6: Final answer
    x = 1,072.83

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1.5x scale

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.