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Finding the Fourth Proportional to 2,328.05, 3,492.45 and 767.60

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Solution

The fourth proportional to 2,328.05, 3,492.45 and 767.60 is: 1,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.05 : 3,492.45 = 767.60 : x
  2. Step 2: Convert to fraction form
    2,328.05/3,492.45 = 767.60/x
  3. Step 3: Cross multiply
    2,328.05x = 3,492.45 × 767.60
  4. Step 4: Simplify right side
    2,328.05x = 2,680,804.62
  5. Step 5: Solve for x
    x = 2,680,804.62/2,328.05
  6. Step 6: Final answer
    x = 1,151.52

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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.