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Finding the Fourth Proportional to 3,054.18, 4,577.07 and 1,663.86

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Solution

The fourth proportional to 3,054.18, 4,577.07 and 1,663.86 is: 2,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.18 : 4,577.07 = 1,663.86 : x
  2. Step 2: Convert to fraction form
    3,054.18/4,577.07 = 1,663.86/x
  3. Step 3: Cross multiply
    3,054.18x = 4,577.07 × 1,663.86
  4. Step 4: Simplify right side
    3,054.18x = 7,615,603.69
  5. Step 5: Solve for x
    x = 7,615,603.69/3,054.18
  6. Step 6: Final answer
    x = 2,493.50

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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.