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Finding the Fourth Proportional to 2,846.90, 3,929.00 and 1,784.84

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Solution

The fourth proportional to 2,846.90, 3,929.00 and 1,784.84 is: 2,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.90 : 3,929.00 = 1,784.84 : x
  2. Step 2: Convert to fraction form
    2,846.90/3,929.00 = 1,784.84/x
  3. Step 3: Cross multiply
    2,846.90x = 3,929.00 × 1,784.84
  4. Step 4: Simplify right side
    2,846.90x = 7,012,607.79
  5. Step 5: Solve for x
    x = 7,012,607.79/2,846.90
  6. Step 6: Final answer
    x = 2,463.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.