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Finding the Fourth Proportional to 2,699.70, 4,046.51 and 2,048.50

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Solution

The fourth proportional to 2,699.70, 4,046.51 and 2,048.50 is: 3,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.70 : 4,046.51 = 2,048.50 : x
  2. Step 2: Convert to fraction form
    2,699.70/4,046.51 = 2,048.50/x
  3. Step 3: Cross multiply
    2,699.70x = 4,046.51 × 2,048.50
  4. Step 4: Simplify right side
    2,699.70x = 8,289,275.74
  5. Step 5: Solve for x
    x = 8,289,275.74/2,699.70
  6. Step 6: Final answer
    x = 3,070.44

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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.