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Finding the Fourth Proportional to 2,893.68, 4,342.95 and 1,507.50

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Solution

The fourth proportional to 2,893.68, 4,342.95 and 1,507.50 is: 2,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.68 : 4,342.95 = 1,507.50 : x
  2. Step 2: Convert to fraction form
    2,893.68/4,342.95 = 1,507.50/x
  3. Step 3: Cross multiply
    2,893.68x = 4,342.95 × 1,507.50
  4. Step 4: Simplify right side
    2,893.68x = 6,546,997.13
  5. Step 5: Solve for x
    x = 6,546,997.13/2,893.68
  6. Step 6: Final answer
    x = 2,262.52

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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.