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Finding the Fourth Proportional to 2,363.75, 3,547.82 and 1,194.58

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Solution

The fourth proportional to 2,363.75, 3,547.82 and 1,194.58 is: 1,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.75 : 3,547.82 = 1,194.58 : x
  2. Step 2: Convert to fraction form
    2,363.75/3,547.82 = 1,194.58/x
  3. Step 3: Cross multiply
    2,363.75x = 3,547.82 × 1,194.58
  4. Step 4: Simplify right side
    2,363.75x = 4,238,162.24
  5. Step 5: Solve for x
    x = 4,238,162.24/2,363.75
  6. Step 6: Final answer
    x = 1,792.98

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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.