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Finding the Fourth Proportional to 2,784.57, 3,841.59 and 1,840.86

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Solution

The fourth proportional to 2,784.57, 3,841.59 and 1,840.86 is: 2,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.57 : 3,841.59 = 1,840.86 : x
  2. Step 2: Convert to fraction form
    2,784.57/3,841.59 = 1,840.86/x
  3. Step 3: Cross multiply
    2,784.57x = 3,841.59 × 1,840.86
  4. Step 4: Simplify right side
    2,784.57x = 7,071,829.37
  5. Step 5: Solve for x
    x = 7,071,829.37/2,784.57
  6. Step 6: Final answer
    x = 2,539.65

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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.