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Finding the Fourth Proportional to 1,533.24, 2,297.70 and 882.63

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Solution

The fourth proportional to 1,533.24, 2,297.70 and 882.63 is: 1,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.24 : 2,297.70 = 882.63 : x
  2. Step 2: Convert to fraction form
    1,533.24/2,297.70 = 882.63/x
  3. Step 3: Cross multiply
    1,533.24x = 2,297.70 × 882.63
  4. Step 4: Simplify right side
    1,533.24x = 2,028,018.95
  5. Step 5: Solve for x
    x = 2,028,018.95/1,533.24
  6. Step 6: Final answer
    x = 1,322.70

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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.