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Finding the Fourth Proportional to 1,841.73, 2,749.37 and 1,564.89

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Solution

The fourth proportional to 1,841.73, 2,749.37 and 1,564.89 is: 2,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.73 : 2,749.37 = 1,564.89 : x
  2. Step 2: Convert to fraction form
    1,841.73/2,749.37 = 1,564.89/x
  3. Step 3: Cross multiply
    1,841.73x = 2,749.37 × 1,564.89
  4. Step 4: Simplify right side
    1,841.73x = 4,302,465.53
  5. Step 5: Solve for x
    x = 4,302,465.53/1,841.73
  6. Step 6: Final answer
    x = 2,336.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.