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Finding the Fourth Proportional to 1,477.52, 2,212.34 and 1,170

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Solution

The fourth proportional to 1,477.52, 2,212.34 and 1,170 is: 1,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.52 : 2,212.34 = 1,170 : x
  2. Step 2: Convert to fraction form
    1,477.52/2,212.34 = 1,170/x
  3. Step 3: Cross multiply
    1,477.52x = 2,212.34 × 1,170
  4. Step 4: Simplify right side
    1,477.52x = 2,588,437.80
  5. Step 5: Solve for x
    x = 2,588,437.80/1,477.52
  6. Step 6: Final answer
    x = 1,751.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.