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Finding the Fourth Proportional to 3,157.76, 4,357.50 and 1,898.06

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Solution

The fourth proportional to 3,157.76, 4,357.50 and 1,898.06 is: 2,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.76 : 4,357.50 = 1,898.06 : x
  2. Step 2: Convert to fraction form
    3,157.76/4,357.50 = 1,898.06/x
  3. Step 3: Cross multiply
    3,157.76x = 4,357.50 × 1,898.06
  4. Step 4: Simplify right side
    3,157.76x = 8,270,796.45
  5. Step 5: Solve for x
    x = 8,270,796.45/3,157.76
  6. Step 6: Final answer
    x = 2,619.20

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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.