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Finding the Fourth Proportional to 2,329.47, 3,491.64 and 942.39

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Solution

The fourth proportional to 2,329.47, 3,491.64 and 942.39 is: 1,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.47 : 3,491.64 = 942.39 : x
  2. Step 2: Convert to fraction form
    2,329.47/3,491.64 = 942.39/x
  3. Step 3: Cross multiply
    2,329.47x = 3,491.64 × 942.39
  4. Step 4: Simplify right side
    2,329.47x = 3,290,486.62
  5. Step 5: Solve for x
    x = 3,290,486.62/2,329.47
  6. Step 6: Final answer
    x = 1,412.55

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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.