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Finding the Fourth Proportional to 2,929.60, 4,391.48 and 1,464.28

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Solution

The fourth proportional to 2,929.60, 4,391.48 and 1,464.28 is: 2,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.60 : 4,391.48 = 1,464.28 : x
  2. Step 2: Convert to fraction form
    2,929.60/4,391.48 = 1,464.28/x
  3. Step 3: Cross multiply
    2,929.60x = 4,391.48 × 1,464.28
  4. Step 4: Simplify right side
    2,929.60x = 6,430,356.33
  5. Step 5: Solve for x
    x = 6,430,356.33/2,929.60
  6. Step 6: Final answer
    x = 2,194.96

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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.