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Finding the Fourth Proportional to 2,973.90, 4,099.95 and 2,507.34

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Solution

The fourth proportional to 2,973.90, 4,099.95 and 2,507.34 is: 3,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.90 : 4,099.95 = 2,507.34 : x
  2. Step 2: Convert to fraction form
    2,973.90/4,099.95 = 2,507.34/x
  3. Step 3: Cross multiply
    2,973.90x = 4,099.95 × 2,507.34
  4. Step 4: Simplify right side
    2,973.90x = 10,279,968.63
  5. Step 5: Solve for x
    x = 10,279,968.63/2,973.90
  6. Step 6: Final answer
    x = 3,456.73

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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.