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Finding the Fourth Proportional to 1,564.53, 2,344.91 and 1,101.62

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Solution

The fourth proportional to 1,564.53, 2,344.91 and 1,101.62 is: 1,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.53 : 2,344.91 = 1,101.62 : x
  2. Step 2: Convert to fraction form
    1,564.53/2,344.91 = 1,101.62/x
  3. Step 3: Cross multiply
    1,564.53x = 2,344.91 × 1,101.62
  4. Step 4: Simplify right side
    1,564.53x = 2,583,182.52
  5. Step 5: Solve for x
    x = 2,583,182.52/1,564.53
  6. Step 6: Final answer
    x = 1,651.09

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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.