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Finding the Fourth Proportional to 2,130.17, 3,193.77 and 896.58

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Solution

The fourth proportional to 2,130.17, 3,193.77 and 896.58 is: 1,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.17 : 3,193.77 = 896.58 : x
  2. Step 2: Convert to fraction form
    2,130.17/3,193.77 = 896.58/x
  3. Step 3: Cross multiply
    2,130.17x = 3,193.77 × 896.58
  4. Step 4: Simplify right side
    2,130.17x = 2,863,454.34
  5. Step 5: Solve for x
    x = 2,863,454.34/2,130.17
  6. Step 6: Final answer
    x = 1,344.24

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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.