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Finding the Fourth Proportional to 2,909.42, 4,015.02 and 1,583.14

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Solution

The fourth proportional to 2,909.42, 4,015.02 and 1,583.14 is: 2,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.42 : 4,015.02 = 1,583.14 : x
  2. Step 2: Convert to fraction form
    2,909.42/4,015.02 = 1,583.14/x
  3. Step 3: Cross multiply
    2,909.42x = 4,015.02 × 1,583.14
  4. Step 4: Simplify right side
    2,909.42x = 6,356,318.69
  5. Step 5: Solve for x
    x = 6,356,318.69/2,909.42
  6. Step 6: Final answer
    x = 2,184.74

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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.