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Finding the Fourth Proportional to 2,342.44, 3,512.64 and 1,043

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Solution

The fourth proportional to 2,342.44, 3,512.64 and 1,043 is: 1,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.44 : 3,512.64 = 1,043 : x
  2. Step 2: Convert to fraction form
    2,342.44/3,512.64 = 1,043/x
  3. Step 3: Cross multiply
    2,342.44x = 3,512.64 × 1,043
  4. Step 4: Simplify right side
    2,342.44x = 3,663,683.52
  5. Step 5: Solve for x
    x = 3,663,683.52/2,342.44
  6. Step 6: Final answer
    x = 1,564.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.