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Finding the Fourth Proportional to 1,749.16, 2,623.58 and 533.16

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Solution

The fourth proportional to 1,749.16, 2,623.58 and 533.16 is: 799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.16 : 2,623.58 = 533.16 : x
  2. Step 2: Convert to fraction form
    1,749.16/2,623.58 = 533.16/x
  3. Step 3: Cross multiply
    1,749.16x = 2,623.58 × 533.16
  4. Step 4: Simplify right side
    1,749.16x = 1,398,787.91
  5. Step 5: Solve for x
    x = 1,398,787.91/1,749.16
  6. Step 6: Final answer
    x = 799.69

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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.