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Finding the Fourth Proportional to 1,829.30, 2,740.02 and 787.94

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Solution

The fourth proportional to 1,829.30, 2,740.02 and 787.94 is: 1,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.30 : 2,740.02 = 787.94 : x
  2. Step 2: Convert to fraction form
    1,829.30/2,740.02 = 787.94/x
  3. Step 3: Cross multiply
    1,829.30x = 2,740.02 × 787.94
  4. Step 4: Simplify right side
    1,829.30x = 2,158,971.36
  5. Step 5: Solve for x
    x = 2,158,971.36/1,829.30
  6. Step 6: Final answer
    x = 1,180.22

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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.