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Finding the Fourth Proportional to 2,064.02, 2,849.19 and 1,539.14

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Solution

The fourth proportional to 2,064.02, 2,849.19 and 1,539.14 is: 2,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.02 : 2,849.19 = 1,539.14 : x
  2. Step 2: Convert to fraction form
    2,064.02/2,849.19 = 1,539.14/x
  3. Step 3: Cross multiply
    2,064.02x = 2,849.19 × 1,539.14
  4. Step 4: Simplify right side
    2,064.02x = 4,385,302.30
  5. Step 5: Solve for x
    x = 4,385,302.30/2,064.02
  6. Step 6: Final answer
    x = 2,124.64

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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.