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Finding the Fourth Proportional to 2,912.34, 4,018.03 and 1,653.30

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Solution

The fourth proportional to 2,912.34, 4,018.03 and 1,653.30 is: 2,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.34 : 4,018.03 = 1,653.30 : x
  2. Step 2: Convert to fraction form
    2,912.34/4,018.03 = 1,653.30/x
  3. Step 3: Cross multiply
    2,912.34x = 4,018.03 × 1,653.30
  4. Step 4: Simplify right side
    2,912.34x = 6,643,009.00
  5. Step 5: Solve for x
    x = 6,643,009.00/2,912.34
  6. Step 6: Final answer
    x = 2,280.99

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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.