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Finding the Fourth Proportional to 2,937.53, 4,053.60 and 1,678.57

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Solution

The fourth proportional to 2,937.53, 4,053.60 and 1,678.57 is: 2,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.53 : 4,053.60 = 1,678.57 : x
  2. Step 2: Convert to fraction form
    2,937.53/4,053.60 = 1,678.57/x
  3. Step 3: Cross multiply
    2,937.53x = 4,053.60 × 1,678.57
  4. Step 4: Simplify right side
    2,937.53x = 6,804,241.22
  5. Step 5: Solve for x
    x = 6,804,241.22/2,937.53
  6. Step 6: Final answer
    x = 2,316.31

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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.