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Finding the Fourth Proportional to 4,681.57, 7,024.54 and 2,048.73

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Solution

The fourth proportional to 4,681.57, 7,024.54 and 2,048.73 is: 3,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.57 : 7,024.54 = 2,048.73 : x
  2. Step 2: Convert to fraction form
    4,681.57/7,024.54 = 2,048.73/x
  3. Step 3: Cross multiply
    4,681.57x = 7,024.54 × 2,048.73
  4. Step 4: Simplify right side
    4,681.57x = 14,391,385.83
  5. Step 5: Solve for x
    x = 14,391,385.83/4,681.57
  6. Step 6: Final answer
    x = 3,074.05

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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.