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Finding the Fourth Proportional to 2,345.14, 3,516.42 and 959.45

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Solution

The fourth proportional to 2,345.14, 3,516.42 and 959.45 is: 1,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.14 : 3,516.42 = 959.45 : x
  2. Step 2: Convert to fraction form
    2,345.14/3,516.42 = 959.45/x
  3. Step 3: Cross multiply
    2,345.14x = 3,516.42 × 959.45
  4. Step 4: Simplify right side
    2,345.14x = 3,373,834.36
  5. Step 5: Solve for x
    x = 3,373,834.36/2,345.14
  6. Step 6: Final answer
    x = 1,438.65

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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.