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Finding the Fourth Proportional to 1,602.56, 2,208.10 and 1,077.68

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Solution

The fourth proportional to 1,602.56, 2,208.10 and 1,077.68 is: 1,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.56 : 2,208.10 = 1,077.68 : x
  2. Step 2: Convert to fraction form
    1,602.56/2,208.10 = 1,077.68/x
  3. Step 3: Cross multiply
    1,602.56x = 2,208.10 × 1,077.68
  4. Step 4: Simplify right side
    1,602.56x = 2,379,611.47
  5. Step 5: Solve for x
    x = 2,379,611.47/1,602.56
  6. Step 6: Final answer
    x = 1,484.89

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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.