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Finding the Fourth Proportional to 2,064.42, 2,848.80 and 1,180.32

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Solution

The fourth proportional to 2,064.42, 2,848.80 and 1,180.32 is: 1,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.42 : 2,848.80 = 1,180.32 : x
  2. Step 2: Convert to fraction form
    2,064.42/2,848.80 = 1,180.32/x
  3. Step 3: Cross multiply
    2,064.42x = 2,848.80 × 1,180.32
  4. Step 4: Simplify right side
    2,064.42x = 3,362,495.62
  5. Step 5: Solve for x
    x = 3,362,495.62/2,064.42
  6. Step 6: Final answer
    x = 1,628.78

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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.