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Finding the Fourth Proportional to 2,131.58, 3,196.40 and 898.32

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Solution

The fourth proportional to 2,131.58, 3,196.40 and 898.32 is: 1,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.58 : 3,196.40 = 898.32 : x
  2. Step 2: Convert to fraction form
    2,131.58/3,196.40 = 898.32/x
  3. Step 3: Cross multiply
    2,131.58x = 3,196.40 × 898.32
  4. Step 4: Simplify right side
    2,131.58x = 2,871,374.36
  5. Step 5: Solve for x
    x = 2,871,374.36/2,131.58
  6. Step 6: Final answer
    x = 1,347.06

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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.