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Finding the Fourth Proportional to 1,346.63, 2,020.55 and 984.42

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Solution

The fourth proportional to 1,346.63, 2,020.55 and 984.42 is: 1,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.63 : 2,020.55 = 984.42 : x
  2. Step 2: Convert to fraction form
    1,346.63/2,020.55 = 984.42/x
  3. Step 3: Cross multiply
    1,346.63x = 2,020.55 × 984.42
  4. Step 4: Simplify right side
    1,346.63x = 1,989,064.91
  5. Step 5: Solve for x
    x = 1,989,064.91/1,346.63
  6. Step 6: Final answer
    x = 1,477.07

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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.