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Finding the Fourth Proportional to 2,012.77, 2,777.57 and 1,128.63

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Solution

The fourth proportional to 2,012.77, 2,777.57 and 1,128.63 is: 1,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.77 : 2,777.57 = 1,128.63 : x
  2. Step 2: Convert to fraction form
    2,012.77/2,777.57 = 1,128.63/x
  3. Step 3: Cross multiply
    2,012.77x = 2,777.57 × 1,128.63
  4. Step 4: Simplify right side
    2,012.77x = 3,134,848.83
  5. Step 5: Solve for x
    x = 3,134,848.83/2,012.77
  6. Step 6: Final answer
    x = 1,557.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.