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Finding the Fourth Proportional to 1,929.60, 2,901.60 and 1,612.80

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Solution

The fourth proportional to 1,929.60, 2,901.60 and 1,612.80 is: 2,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.60 : 2,901.60 = 1,612.80 : x
  2. Step 2: Convert to fraction form
    1,929.60/2,901.60 = 1,612.80/x
  3. Step 3: Cross multiply
    1,929.60x = 2,901.60 × 1,612.80
  4. Step 4: Simplify right side
    1,929.60x = 4,679,700.48
  5. Step 5: Solve for x
    x = 4,679,700.48/1,929.60
  6. Step 6: Final answer
    x = 2,425.22

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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.