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Finding the Fourth Proportional to 1,845.66, 2,762.10 and 1,142.58

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Solution

The fourth proportional to 1,845.66, 2,762.10 and 1,142.58 is: 1,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.66 : 2,762.10 = 1,142.58 : x
  2. Step 2: Convert to fraction form
    1,845.66/2,762.10 = 1,142.58/x
  3. Step 3: Cross multiply
    1,845.66x = 2,762.10 × 1,142.58
  4. Step 4: Simplify right side
    1,845.66x = 3,155,920.22
  5. Step 5: Solve for x
    x = 3,155,920.22/1,845.66
  6. Step 6: Final answer
    x = 1,709.91

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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.