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Finding the Fourth Proportional to 4,051.64, 6,077.80 and 1,129.98

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Solution

The fourth proportional to 4,051.64, 6,077.80 and 1,129.98 is: 1,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.64 : 6,077.80 = 1,129.98 : x
  2. Step 2: Convert to fraction form
    4,051.64/6,077.80 = 1,129.98/x
  3. Step 3: Cross multiply
    4,051.64x = 6,077.80 × 1,129.98
  4. Step 4: Simplify right side
    4,051.64x = 6,867,792.44
  5. Step 5: Solve for x
    x = 6,867,792.44/4,051.64
  6. Step 6: Final answer
    x = 1,695.06

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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.