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Finding the Fourth Proportional to 2,699.30, 4,048.98 and 751.40

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Solution

The fourth proportional to 2,699.30, 4,048.98 and 751.40 is: 1,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.30 : 4,048.98 = 751.40 : x
  2. Step 2: Convert to fraction form
    2,699.30/4,048.98 = 751.40/x
  3. Step 3: Cross multiply
    2,699.30x = 4,048.98 × 751.40
  4. Step 4: Simplify right side
    2,699.30x = 3,042,403.57
  5. Step 5: Solve for x
    x = 3,042,403.57/2,699.30
  6. Step 6: Final answer
    x = 1,127.11

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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.