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Finding the Fourth Proportional to 2,014.61, 3,021.98 and 553.77

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Solution

The fourth proportional to 2,014.61, 3,021.98 and 553.77 is: 830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.61 : 3,021.98 = 553.77 : x
  2. Step 2: Convert to fraction form
    2,014.61/3,021.98 = 553.77/x
  3. Step 3: Cross multiply
    2,014.61x = 3,021.98 × 553.77
  4. Step 4: Simplify right side
    2,014.61x = 1,673,479.10
  5. Step 5: Solve for x
    x = 1,673,479.10/2,014.61
  6. Step 6: Final answer
    x = 830.67

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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.