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Finding the Fourth Proportional to 2,699.17, 4,047.13 and 1,056.49

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Solution

The fourth proportional to 2,699.17, 4,047.13 and 1,056.49 is: 1,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.17 : 4,047.13 = 1,056.49 : x
  2. Step 2: Convert to fraction form
    2,699.17/4,047.13 = 1,056.49/x
  3. Step 3: Cross multiply
    2,699.17x = 4,047.13 × 1,056.49
  4. Step 4: Simplify right side
    2,699.17x = 4,275,752.37
  5. Step 5: Solve for x
    x = 4,275,752.37/2,699.17
  6. Step 6: Final answer
    x = 1,584.10

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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.