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Finding the Fourth Proportional to 2,064.94, 2,849.84 and 1,435.30

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Solution

The fourth proportional to 2,064.94, 2,849.84 and 1,435.30 is: 1,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.94 : 2,849.84 = 1,435.30 : x
  2. Step 2: Convert to fraction form
    2,064.94/2,849.84 = 1,435.30/x
  3. Step 3: Cross multiply
    2,064.94x = 2,849.84 × 1,435.30
  4. Step 4: Simplify right side
    2,064.94x = 4,090,375.35
  5. Step 5: Solve for x
    x = 4,090,375.35/2,064.94
  6. Step 6: Final answer
    x = 1,980.87

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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.