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Finding the Fourth Proportional to 3,106.60, 4,655.94 and 1,459.52

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Solution

The fourth proportional to 3,106.60, 4,655.94 and 1,459.52 is: 2,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.60 : 4,655.94 = 1,459.52 : x
  2. Step 2: Convert to fraction form
    3,106.60/4,655.94 = 1,459.52/x
  3. Step 3: Cross multiply
    3,106.60x = 4,655.94 × 1,459.52
  4. Step 4: Simplify right side
    3,106.60x = 6,795,437.55
  5. Step 5: Solve for x
    x = 6,795,437.55/3,106.60
  6. Step 6: Final answer
    x = 2,187.42

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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.