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Finding the Fourth Proportional to 2,485.40, 3,728.04 and 1,024.64

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Solution

The fourth proportional to 2,485.40, 3,728.04 and 1,024.64 is: 1,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.40 : 3,728.04 = 1,024.64 : x
  2. Step 2: Convert to fraction form
    2,485.40/3,728.04 = 1,024.64/x
  3. Step 3: Cross multiply
    2,485.40x = 3,728.04 × 1,024.64
  4. Step 4: Simplify right side
    2,485.40x = 3,819,898.91
  5. Step 5: Solve for x
    x = 3,819,898.91/2,485.40
  6. Step 6: Final answer
    x = 1,536.94

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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.