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Finding the Fourth Proportional to 4,661.60, 6,992.42 and 1,888.32

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Solution

The fourth proportional to 4,661.60, 6,992.42 and 1,888.32 is: 2,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.60 : 6,992.42 = 1,888.32 : x
  2. Step 2: Convert to fraction form
    4,661.60/6,992.42 = 1,888.32/x
  3. Step 3: Cross multiply
    4,661.60x = 6,992.42 × 1,888.32
  4. Step 4: Simplify right side
    4,661.60x = 13,203,946.85
  5. Step 5: Solve for x
    x = 13,203,946.85/4,661.60
  6. Step 6: Final answer
    x = 2,832.49

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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.