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Finding the Fourth Proportional to 2,328.60, 3,495.40 and 942.86

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Solution

The fourth proportional to 2,328.60, 3,495.40 and 942.86 is: 1,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.60 : 3,495.40 = 942.86 : x
  2. Step 2: Convert to fraction form
    2,328.60/3,495.40 = 942.86/x
  3. Step 3: Cross multiply
    2,328.60x = 3,495.40 × 942.86
  4. Step 4: Simplify right side
    2,328.60x = 3,295,672.84
  5. Step 5: Solve for x
    x = 3,295,672.84/2,328.60
  6. Step 6: Final answer
    x = 1,415.30

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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.