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Finding the Fourth Proportional to 2,970.42, 4,460.73 and 2,637.62

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Solution

The fourth proportional to 2,970.42, 4,460.73 and 2,637.62 is: 3,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.42 : 4,460.73 = 2,637.62 : x
  2. Step 2: Convert to fraction form
    2,970.42/4,460.73 = 2,637.62/x
  3. Step 3: Cross multiply
    2,970.42x = 4,460.73 × 2,637.62
  4. Step 4: Simplify right side
    2,970.42x = 11,765,697.47
  5. Step 5: Solve for x
    x = 11,765,697.47/2,970.42
  6. Step 6: Final answer
    x = 3,960.96

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