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Finding the Fourth Proportional to 2,064.96, 2,841.21 and 1,784.31

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Solution

The fourth proportional to 2,064.96, 2,841.21 and 1,784.31 is: 2,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.96 : 2,841.21 = 1,784.31 : x
  2. Step 2: Convert to fraction form
    2,064.96/2,841.21 = 1,784.31/x
  3. Step 3: Cross multiply
    2,064.96x = 2,841.21 × 1,784.31
  4. Step 4: Simplify right side
    2,064.96x = 5,069,599.42
  5. Step 5: Solve for x
    x = 5,069,599.42/2,064.96
  6. Step 6: Final answer
    x = 2,455.06

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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.