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Finding the Fourth Proportional to 2,712.63, 4,068.95 and 660.63

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Solution

The fourth proportional to 2,712.63, 4,068.95 and 660.63 is: 990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.63 : 4,068.95 = 660.63 : x
  2. Step 2: Convert to fraction form
    2,712.63/4,068.95 = 660.63/x
  3. Step 3: Cross multiply
    2,712.63x = 4,068.95 × 660.63
  4. Step 4: Simplify right side
    2,712.63x = 2,688,070.44
  5. Step 5: Solve for x
    x = 2,688,070.44/2,712.63
  6. Step 6: Final answer
    x = 990.95

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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.