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Finding the Fourth Proportional to 1,564.80, 2,343.08 and 1,015.32

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Solution

The fourth proportional to 1,564.80, 2,343.08 and 1,015.32 is: 1,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.80 : 2,343.08 = 1,015.32 : x
  2. Step 2: Convert to fraction form
    1,564.80/2,343.08 = 1,015.32/x
  3. Step 3: Cross multiply
    1,564.80x = 2,343.08 × 1,015.32
  4. Step 4: Simplify right side
    1,564.80x = 2,378,975.99
  5. Step 5: Solve for x
    x = 2,378,975.99/1,564.80
  6. Step 6: Final answer
    x = 1,520.31

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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.