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Finding the Fourth Proportional to 2,894.70, 4,332.45 and 2,030.70

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Solution

The fourth proportional to 2,894.70, 4,332.45 and 2,030.70 is: 3,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.70 : 4,332.45 = 2,030.70 : x
  2. Step 2: Convert to fraction form
    2,894.70/4,332.45 = 2,030.70/x
  3. Step 3: Cross multiply
    2,894.70x = 4,332.45 × 2,030.70
  4. Step 4: Simplify right side
    2,894.70x = 8,797,906.22
  5. Step 5: Solve for x
    x = 8,797,906.22/2,894.70
  6. Step 6: Final answer
    x = 3,039.32

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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.