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Finding the Fourth Proportional to 1,533.54, 2,116.16 and 928.11

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Solution

The fourth proportional to 1,533.54, 2,116.16 and 928.11 is: 1,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.54 : 2,116.16 = 928.11 : x
  2. Step 2: Convert to fraction form
    1,533.54/2,116.16 = 928.11/x
  3. Step 3: Cross multiply
    1,533.54x = 2,116.16 × 928.11
  4. Step 4: Simplify right side
    1,533.54x = 1,964,028.10
  5. Step 5: Solve for x
    x = 1,964,028.10/1,533.54
  6. Step 6: Final answer
    x = 1,280.71

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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.