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Finding the Fourth Proportional to 1,699.63, 2,344.61 and 1,068.97

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Solution

The fourth proportional to 1,699.63, 2,344.61 and 1,068.97 is: 1,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.63 : 2,344.61 = 1,068.97 : x
  2. Step 2: Convert to fraction form
    1,699.63/2,344.61 = 1,068.97/x
  3. Step 3: Cross multiply
    1,699.63x = 2,344.61 × 1,068.97
  4. Step 4: Simplify right side
    1,699.63x = 2,506,321.04
  5. Step 5: Solve for x
    x = 2,506,321.04/1,699.63
  6. Step 6: Final answer
    x = 1,474.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.