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Finding the Fourth Proportional to 1,905.84, 2,859.20 and 607.36

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Solution

The fourth proportional to 1,905.84, 2,859.20 and 607.36 is: 911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.84 : 2,859.20 = 607.36 : x
  2. Step 2: Convert to fraction form
    1,905.84/2,859.20 = 607.36/x
  3. Step 3: Cross multiply
    1,905.84x = 2,859.20 × 607.36
  4. Step 4: Simplify right side
    1,905.84x = 1,736,563.71
  5. Step 5: Solve for x
    x = 1,736,563.71/1,905.84
  6. Step 6: Final answer
    x = 911.18

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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.