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Finding the Fourth Proportional to 2,516.08, 3,770.64 and 954.48

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Solution

The fourth proportional to 2,516.08, 3,770.64 and 954.48 is: 1,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.08 : 3,770.64 = 954.48 : x
  2. Step 2: Convert to fraction form
    2,516.08/3,770.64 = 954.48/x
  3. Step 3: Cross multiply
    2,516.08x = 3,770.64 × 954.48
  4. Step 4: Simplify right side
    2,516.08x = 3,599,000.47
  5. Step 5: Solve for x
    x = 3,599,000.47/2,516.08
  6. Step 6: Final answer
    x = 1,430.40

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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.