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Finding the Fourth Proportional to 2,073.52, 3,110.54 and 612.70

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Solution

The fourth proportional to 2,073.52, 3,110.54 and 612.70 is: 919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.52 : 3,110.54 = 612.70 : x
  2. Step 2: Convert to fraction form
    2,073.52/3,110.54 = 612.70/x
  3. Step 3: Cross multiply
    2,073.52x = 3,110.54 × 612.70
  4. Step 4: Simplify right side
    2,073.52x = 1,905,827.86
  5. Step 5: Solve for x
    x = 1,905,827.86/2,073.52
  6. Step 6: Final answer
    x = 919.13

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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.