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Finding the Fourth Proportional to 1,601.52, 2,210.27 and 893.45

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Solution

The fourth proportional to 1,601.52, 2,210.27 and 893.45 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.52 : 2,210.27 = 893.45 : x
  2. Step 2: Convert to fraction form
    1,601.52/2,210.27 = 893.45/x
  3. Step 3: Cross multiply
    1,601.52x = 2,210.27 × 893.45
  4. Step 4: Simplify right side
    1,601.52x = 1,974,750.21
  5. Step 5: Solve for x
    x = 1,974,750.21/1,601.52
  6. Step 6: Final answer
    x = 1,233.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.