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Finding the Fourth Proportional to 2,024.04, 3,036.90 and 984.60

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Solution

The fourth proportional to 2,024.04, 3,036.90 and 984.60 is: 1,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.04 : 3,036.90 = 984.60 : x
  2. Step 2: Convert to fraction form
    2,024.04/3,036.90 = 984.60/x
  3. Step 3: Cross multiply
    2,024.04x = 3,036.90 × 984.60
  4. Step 4: Simplify right side
    2,024.04x = 2,990,131.74
  5. Step 5: Solve for x
    x = 2,990,131.74/2,024.04
  6. Step 6: Final answer
    x = 1,477.31

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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.