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Finding the Fourth Proportional to 2,784.97, 3,840.10 and 2,085.13

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Solution

The fourth proportional to 2,784.97, 3,840.10 and 2,085.13 is: 2,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.97 : 3,840.10 = 2,085.13 : x
  2. Step 2: Convert to fraction form
    2,784.97/3,840.10 = 2,085.13/x
  3. Step 3: Cross multiply
    2,784.97x = 3,840.10 × 2,085.13
  4. Step 4: Simplify right side
    2,784.97x = 8,007,107.71
  5. Step 5: Solve for x
    x = 8,007,107.71/2,784.97
  6. Step 6: Final answer
    x = 2,875.11

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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.