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Finding the Fourth Proportional to 2,725.74, 3,764.58 and 1,840

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Solution

The fourth proportional to 2,725.74, 3,764.58 and 1,840 is: 2,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.74 : 3,764.58 = 1,840 : x
  2. Step 2: Convert to fraction form
    2,725.74/3,764.58 = 1,840/x
  3. Step 3: Cross multiply
    2,725.74x = 3,764.58 × 1,840
  4. Step 4: Simplify right side
    2,725.74x = 6,926,827.20
  5. Step 5: Solve for x
    x = 6,926,827.20/2,725.74
  6. Step 6: Final answer
    x = 2,541.26

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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.