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Finding the Fourth Proportional to 2,329.57, 3,492.73 and 1,095.94

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Solution

The fourth proportional to 2,329.57, 3,492.73 and 1,095.94 is: 1,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.57 : 3,492.73 = 1,095.94 : x
  2. Step 2: Convert to fraction form
    2,329.57/3,492.73 = 1,095.94/x
  3. Step 3: Cross multiply
    2,329.57x = 3,492.73 × 1,095.94
  4. Step 4: Simplify right side
    2,329.57x = 3,827,822.52
  5. Step 5: Solve for x
    x = 3,827,822.52/2,329.57
  6. Step 6: Final answer
    x = 1,643.15

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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.