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Finding the Fourth Proportional to 2,344.74, 3,516.54 and 883.08

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Solution

The fourth proportional to 2,344.74, 3,516.54 and 883.08 is: 1,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.74 : 3,516.54 = 883.08 : x
  2. Step 2: Convert to fraction form
    2,344.74/3,516.54 = 883.08/x
  3. Step 3: Cross multiply
    2,344.74x = 3,516.54 × 883.08
  4. Step 4: Simplify right side
    2,344.74x = 3,105,386.14
  5. Step 5: Solve for x
    x = 3,105,386.14/2,344.74
  6. Step 6: Final answer
    x = 1,324.41

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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.