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Finding the Fourth Proportional to 2,485.61, 3,728.49 and 1,024.88

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Solution

The fourth proportional to 2,485.61, 3,728.49 and 1,024.88 is: 1,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.61 : 3,728.49 = 1,024.88 : x
  2. Step 2: Convert to fraction form
    2,485.61/3,728.49 = 1,024.88/x
  3. Step 3: Cross multiply
    2,485.61x = 3,728.49 × 1,024.88
  4. Step 4: Simplify right side
    2,485.61x = 3,821,254.83
  5. Step 5: Solve for x
    x = 3,821,254.83/2,485.61
  6. Step 6: Final answer
    x = 1,537.35

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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.