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Finding the Fourth Proportional to 2,909.70, 4,015.35 and 1,583.37

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Solution

The fourth proportional to 2,909.70, 4,015.35 and 1,583.37 is: 2,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.70 : 4,015.35 = 1,583.37 : x
  2. Step 2: Convert to fraction form
    2,909.70/4,015.35 = 1,583.37/x
  3. Step 3: Cross multiply
    2,909.70x = 4,015.35 × 1,583.37
  4. Step 4: Simplify right side
    2,909.70x = 6,357,784.73
  5. Step 5: Solve for x
    x = 6,357,784.73/2,909.70
  6. Step 6: Final answer
    x = 2,185.03

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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.