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Finding the Fourth Proportional to 3,157.80, 4,735.68 and 1,491.76

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Solution

The fourth proportional to 3,157.80, 4,735.68 and 1,491.76 is: 2,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.80 : 4,735.68 = 1,491.76 : x
  2. Step 2: Convert to fraction form
    3,157.80/4,735.68 = 1,491.76/x
  3. Step 3: Cross multiply
    3,157.80x = 4,735.68 × 1,491.76
  4. Step 4: Simplify right side
    3,157.80x = 7,064,498.00
  5. Step 5: Solve for x
    x = 7,064,498.00/3,157.80
  6. Step 6: Final answer
    x = 2,237.16

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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.