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Finding the Fourth Proportional to 1,533.68, 2,116.26 and 944.13

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Solution

The fourth proportional to 1,533.68, 2,116.26 and 944.13 is: 1,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.68 : 2,116.26 = 944.13 : x
  2. Step 2: Convert to fraction form
    1,533.68/2,116.26 = 944.13/x
  3. Step 3: Cross multiply
    1,533.68x = 2,116.26 × 944.13
  4. Step 4: Simplify right side
    1,533.68x = 1,998,024.55
  5. Step 5: Solve for x
    x = 1,998,024.55/1,533.68
  6. Step 6: Final answer
    x = 1,302.77

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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.