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Finding the Fourth Proportional to 2,784.96, 3,842.88 and 1,737.60

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Solution

The fourth proportional to 2,784.96, 3,842.88 and 1,737.60 is: 2,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.96 : 3,842.88 = 1,737.60 : x
  2. Step 2: Convert to fraction form
    2,784.96/3,842.88 = 1,737.60/x
  3. Step 3: Cross multiply
    2,784.96x = 3,842.88 × 1,737.60
  4. Step 4: Simplify right side
    2,784.96x = 6,677,388.29
  5. Step 5: Solve for x
    x = 6,677,388.29/2,784.96
  6. Step 6: Final answer
    x = 2,397.66

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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.