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Finding the Fourth Proportional to 1,929.01, 2,893.61 and 612.66

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Solution

The fourth proportional to 1,929.01, 2,893.61 and 612.66 is: 919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.01 : 2,893.61 = 612.66 : x
  2. Step 2: Convert to fraction form
    1,929.01/2,893.61 = 612.66/x
  3. Step 3: Cross multiply
    1,929.01x = 2,893.61 × 612.66
  4. Step 4: Simplify right side
    1,929.01x = 1,772,799.10
  5. Step 5: Solve for x
    x = 1,772,799.10/1,929.01
  6. Step 6: Final answer
    x = 919.02

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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.