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Finding the Fourth Proportional to 1,477.55, 2,215.62 and 861.43

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Solution

The fourth proportional to 1,477.55, 2,215.62 and 861.43 is: 1,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.55 : 2,215.62 = 861.43 : x
  2. Step 2: Convert to fraction form
    1,477.55/2,215.62 = 861.43/x
  3. Step 3: Cross multiply
    1,477.55x = 2,215.62 × 861.43
  4. Step 4: Simplify right side
    1,477.55x = 1,908,601.54
  5. Step 5: Solve for x
    x = 1,908,601.54/1,477.55
  6. Step 6: Final answer
    x = 1,291.73

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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.