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Finding the Fourth Proportional to 3,465.33, 4,782.11 and 2,049

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Solution

The fourth proportional to 3,465.33, 4,782.11 and 2,049 is: 2,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.33 : 4,782.11 = 2,049 : x
  2. Step 2: Convert to fraction form
    3,465.33/4,782.11 = 2,049/x
  3. Step 3: Cross multiply
    3,465.33x = 4,782.11 × 2,049
  4. Step 4: Simplify right side
    3,465.33x = 9,798,533.15
  5. Step 5: Solve for x
    x = 9,798,533.15/3,465.33
  6. Step 6: Final answer
    x = 2,827.59

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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.