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Finding the Fourth Proportional to 2,784.06, 3,841.62 and 1,588.92

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Solution

The fourth proportional to 2,784.06, 3,841.62 and 1,588.92 is: 2,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.06 : 3,841.62 = 1,588.92 : x
  2. Step 2: Convert to fraction form
    2,784.06/3,841.62 = 1,588.92/x
  3. Step 3: Cross multiply
    2,784.06x = 3,841.62 × 1,588.92
  4. Step 4: Simplify right side
    2,784.06x = 6,104,026.85
  5. Step 5: Solve for x
    x = 6,104,026.85/2,784.06
  6. Step 6: Final answer
    x = 2,192.49

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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.