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Finding the Fourth Proportional to 2,353.43, 3,528.05 and 893.61

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Solution

The fourth proportional to 2,353.43, 3,528.05 and 893.61 is: 1,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.43 : 3,528.05 = 893.61 : x
  2. Step 2: Convert to fraction form
    2,353.43/3,528.05 = 893.61/x
  3. Step 3: Cross multiply
    2,353.43x = 3,528.05 × 893.61
  4. Step 4: Simplify right side
    2,353.43x = 3,152,681.41
  5. Step 5: Solve for x
    x = 3,152,681.41/2,353.43
  6. Step 6: Final answer
    x = 1,339.61

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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.