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Finding the Fourth Proportional to 2,653.94, 3,663.46 and 1,769.42

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Solution

The fourth proportional to 2,653.94, 3,663.46 and 1,769.42 is: 2,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.94 : 3,663.46 = 1,769.42 : x
  2. Step 2: Convert to fraction form
    2,653.94/3,663.46 = 1,769.42/x
  3. Step 3: Cross multiply
    2,653.94x = 3,663.46 × 1,769.42
  4. Step 4: Simplify right side
    2,653.94x = 6,482,210.76
  5. Step 5: Solve for x
    x = 6,482,210.76/2,653.94
  6. Step 6: Final answer
    x = 2,442.48

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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.