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Finding the Fourth Proportional to 2,970.36, 4,453.92 and 1,237.68

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Solution

The fourth proportional to 2,970.36, 4,453.92 and 1,237.68 is: 1,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.36 : 4,453.92 = 1,237.68 : x
  2. Step 2: Convert to fraction form
    2,970.36/4,453.92 = 1,237.68/x
  3. Step 3: Cross multiply
    2,970.36x = 4,453.92 × 1,237.68
  4. Step 4: Simplify right side
    2,970.36x = 5,512,527.71
  5. Step 5: Solve for x
    x = 5,512,527.71/2,970.36
  6. Step 6: Final answer
    x = 1,855.84

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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.