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Finding the Fourth Proportional to 3,106.32, 4,659.62 and 1,026.45

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Solution

The fourth proportional to 3,106.32, 4,659.62 and 1,026.45 is: 1,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.32 : 4,659.62 = 1,026.45 : x
  2. Step 2: Convert to fraction form
    3,106.32/4,659.62 = 1,026.45/x
  3. Step 3: Cross multiply
    3,106.32x = 4,659.62 × 1,026.45
  4. Step 4: Simplify right side
    3,106.32x = 4,782,861.82
  5. Step 5: Solve for x
    x = 4,782,861.82/3,106.32
  6. Step 6: Final answer
    x = 1,539.72

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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.