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Finding the Fourth Proportional to 2,685.94, 3,705.71 and 1,742.47

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Solution

The fourth proportional to 2,685.94, 3,705.71 and 1,742.47 is: 2,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.94 : 3,705.71 = 1,742.47 : x
  2. Step 2: Convert to fraction form
    2,685.94/3,705.71 = 1,742.47/x
  3. Step 3: Cross multiply
    2,685.94x = 3,705.71 × 1,742.47
  4. Step 4: Simplify right side
    2,685.94x = 6,457,070.53
  5. Step 5: Solve for x
    x = 6,457,070.53/2,685.94
  6. Step 6: Final answer
    x = 2,404.03

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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.