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Finding the Fourth Proportional to 2,329.46, 3,492.02 and 1,599.38

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Solution

The fourth proportional to 2,329.46, 3,492.02 and 1,599.38 is: 2,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.46 : 3,492.02 = 1,599.38 : x
  2. Step 2: Convert to fraction form
    2,329.46/3,492.02 = 1,599.38/x
  3. Step 3: Cross multiply
    2,329.46x = 3,492.02 × 1,599.38
  4. Step 4: Simplify right side
    2,329.46x = 5,585,066.95
  5. Step 5: Solve for x
    x = 5,585,066.95/2,329.46
  6. Step 6: Final answer
    x = 2,397.58

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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.