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Finding the Fourth Proportional to 2,984.74, 4,470.63 and 1,442.50

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Solution

The fourth proportional to 2,984.74, 4,470.63 and 1,442.50 is: 2,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.74 : 4,470.63 = 1,442.50 : x
  2. Step 2: Convert to fraction form
    2,984.74/4,470.63 = 1,442.50/x
  3. Step 3: Cross multiply
    2,984.74x = 4,470.63 × 1,442.50
  4. Step 4: Simplify right side
    2,984.74x = 6,448,883.78
  5. Step 5: Solve for x
    x = 6,448,883.78/2,984.74
  6. Step 6: Final answer
    x = 2,160.62

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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.