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Finding the Fourth Proportional to 2,364.46, 3,547.66 and 1,193.83

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Solution

The fourth proportional to 2,364.46, 3,547.66 and 1,193.83 is: 1,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.46 : 3,547.66 = 1,193.83 : x
  2. Step 2: Convert to fraction form
    2,364.46/3,547.66 = 1,193.83/x
  3. Step 3: Cross multiply
    2,364.46x = 3,547.66 × 1,193.83
  4. Step 4: Simplify right side
    2,364.46x = 4,235,302.94
  5. Step 5: Solve for x
    x = 4,235,302.94/2,364.46
  6. Step 6: Final answer
    x = 1,791.23

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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.