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Finding the Fourth Proportional to 2,130.44, 3,194.31 and 898.70

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Solution

The fourth proportional to 2,130.44, 3,194.31 and 898.70 is: 1,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.44 : 3,194.31 = 898.70 : x
  2. Step 2: Convert to fraction form
    2,130.44/3,194.31 = 898.70/x
  3. Step 3: Cross multiply
    2,130.44x = 3,194.31 × 898.70
  4. Step 4: Simplify right side
    2,130.44x = 2,870,726.40
  5. Step 5: Solve for x
    x = 2,870,726.40/2,130.44
  6. Step 6: Final answer
    x = 1,347.48

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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.