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Finding the Fourth Proportional to 1,885.37, 2,826.21 and 897.92

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Solution

The fourth proportional to 1,885.37, 2,826.21 and 897.92 is: 1,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.37 : 2,826.21 = 897.92 : x
  2. Step 2: Convert to fraction form
    1,885.37/2,826.21 = 897.92/x
  3. Step 3: Cross multiply
    1,885.37x = 2,826.21 × 897.92
  4. Step 4: Simplify right side
    1,885.37x = 2,537,696.35
  5. Step 5: Solve for x
    x = 2,537,696.35/1,885.37
  6. Step 6: Final answer
    x = 1,346.00

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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.