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Finding the Fourth Proportional to 2,518.54, 3,776.98 and 874.72

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Solution

The fourth proportional to 2,518.54, 3,776.98 and 874.72 is: 1,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.54 : 3,776.98 = 874.72 : x
  2. Step 2: Convert to fraction form
    2,518.54/3,776.98 = 874.72/x
  3. Step 3: Cross multiply
    2,518.54x = 3,776.98 × 874.72
  4. Step 4: Simplify right side
    2,518.54x = 3,303,814.74
  5. Step 5: Solve for x
    x = 3,303,814.74/2,518.54
  6. Step 6: Final answer
    x = 1,311.80

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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.