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Finding the Fourth Proportional to 2,364.69, 3,541.64 and 1,132.98

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Solution

The fourth proportional to 2,364.69, 3,541.64 and 1,132.98 is: 1,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.69 : 3,541.64 = 1,132.98 : x
  2. Step 2: Convert to fraction form
    2,364.69/3,541.64 = 1,132.98/x
  3. Step 3: Cross multiply
    2,364.69x = 3,541.64 × 1,132.98
  4. Step 4: Simplify right side
    2,364.69x = 4,012,601.62
  5. Step 5: Solve for x
    x = 4,012,601.62/2,364.69
  6. Step 6: Final answer
    x = 1,696.88

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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.