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Finding the Fourth Proportional to 3,106.56, 4,659.20 and 1,374.08

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Solution

The fourth proportional to 3,106.56, 4,659.20 and 1,374.08 is: 2,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.56 : 4,659.20 = 1,374.08 : x
  2. Step 2: Convert to fraction form
    3,106.56/4,659.20 = 1,374.08/x
  3. Step 3: Cross multiply
    3,106.56x = 4,659.20 × 1,374.08
  4. Step 4: Simplify right side
    3,106.56x = 6,402,113.54
  5. Step 5: Solve for x
    x = 6,402,113.54/3,106.56
  6. Step 6: Final answer
    x = 2,060.84

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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.