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Finding the Fourth Proportional to 3,054.77, 4,215.60 and 1,657.52

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Solution

The fourth proportional to 3,054.77, 4,215.60 and 1,657.52 is: 2,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.77 : 4,215.60 = 1,657.52 : x
  2. Step 2: Convert to fraction form
    3,054.77/4,215.60 = 1,657.52/x
  3. Step 3: Cross multiply
    3,054.77x = 4,215.60 × 1,657.52
  4. Step 4: Simplify right side
    3,054.77x = 6,987,441.31
  5. Step 5: Solve for x
    x = 6,987,441.31/3,054.77
  6. Step 6: Final answer
    x = 2,287.39

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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.