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Finding the Fourth Proportional to 1,533.88, 2,116.82 and 944.61

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Solution

The fourth proportional to 1,533.88, 2,116.82 and 944.61 is: 1,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.88 : 2,116.82 = 944.61 : x
  2. Step 2: Convert to fraction form
    1,533.88/2,116.82 = 944.61/x
  3. Step 3: Cross multiply
    1,533.88x = 2,116.82 × 944.61
  4. Step 4: Simplify right side
    1,533.88x = 1,999,569.34
  5. Step 5: Solve for x
    x = 1,999,569.34/1,533.88
  6. Step 6: Final answer
    x = 1,303.60

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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.