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Finding the Fourth Proportional to 2,663.39, 3,674.66 and 1,544.10

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Solution

The fourth proportional to 2,663.39, 3,674.66 and 1,544.10 is: 2,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.39 : 3,674.66 = 1,544.10 : x
  2. Step 2: Convert to fraction form
    2,663.39/3,674.66 = 1,544.10/x
  3. Step 3: Cross multiply
    2,663.39x = 3,674.66 × 1,544.10
  4. Step 4: Simplify right side
    2,663.39x = 5,674,065.48
  5. Step 5: Solve for x
    x = 5,674,065.48/2,663.39
  6. Step 6: Final answer
    x = 2,130.39

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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.