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Finding the Fourth Proportional to 4,981.59, 7,470.64 and 1,470.66

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Solution

The fourth proportional to 4,981.59, 7,470.64 and 1,470.66 is: 2,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.59 : 7,470.64 = 1,470.66 : x
  2. Step 2: Convert to fraction form
    4,981.59/7,470.64 = 1,470.66/x
  3. Step 3: Cross multiply
    4,981.59x = 7,470.64 × 1,470.66
  4. Step 4: Simplify right side
    4,981.59x = 10,986,764.07
  5. Step 5: Solve for x
    x = 10,986,764.07/4,981.59
  6. Step 6: Final answer
    x = 2,205.47

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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.