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Finding the Fourth Proportional to 1,564.41, 2,344.83 and 741.52

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Solution

The fourth proportional to 1,564.41, 2,344.83 and 741.52 is: 1,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.41 : 2,344.83 = 741.52 : x
  2. Step 2: Convert to fraction form
    1,564.41/2,344.83 = 741.52/x
  3. Step 3: Cross multiply
    1,564.41x = 2,344.83 × 741.52
  4. Step 4: Simplify right side
    1,564.41x = 1,738,738.34
  5. Step 5: Solve for x
    x = 1,738,738.34/1,564.41
  6. Step 6: Final answer
    x = 1,111.43

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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.