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Finding the Fourth Proportional to 1,929.60, 2,893.29 and 613.10

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Solution

The fourth proportional to 1,929.60, 2,893.29 and 613.10 is: 919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.60 : 2,893.29 = 613.10 : x
  2. Step 2: Convert to fraction form
    1,929.60/2,893.29 = 613.10/x
  3. Step 3: Cross multiply
    1,929.60x = 2,893.29 × 613.10
  4. Step 4: Simplify right side
    1,929.60x = 1,773,861.63
  5. Step 5: Solve for x
    x = 1,773,861.63/1,929.60
  6. Step 6: Final answer
    x = 919.29

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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.