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Finding the Fourth Proportional to 1,532.16, 2,299.32 and 882

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Solution

The fourth proportional to 1,532.16, 2,299.32 and 882 is: 1,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.16 : 2,299.32 = 882 : x
  2. Step 2: Convert to fraction form
    1,532.16/2,299.32 = 882/x
  3. Step 3: Cross multiply
    1,532.16x = 2,299.32 × 882
  4. Step 4: Simplify right side
    1,532.16x = 2,028,000.24
  5. Step 5: Solve for x
    x = 2,028,000.24/1,532.16
  6. Step 6: Final answer
    x = 1,323.62

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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.