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Finding the Fourth Proportional to 2,130.15, 3,196.37 and 898.41

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Solution

The fourth proportional to 2,130.15, 3,196.37 and 898.41 is: 1,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.15 : 3,196.37 = 898.41 : x
  2. Step 2: Convert to fraction form
    2,130.15/3,196.37 = 898.41/x
  3. Step 3: Cross multiply
    2,130.15x = 3,196.37 × 898.41
  4. Step 4: Simplify right side
    2,130.15x = 2,871,650.77
  5. Step 5: Solve for x
    x = 2,871,650.77/2,130.15
  6. Step 6: Final answer
    x = 1,348.10

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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.