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Finding the Fourth Proportional to 2,545.41, 3,818.72 and 790.33

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Solution

The fourth proportional to 2,545.41, 3,818.72 and 790.33 is: 1,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.41 : 3,818.72 = 790.33 : x
  2. Step 2: Convert to fraction form
    2,545.41/3,818.72 = 790.33/x
  3. Step 3: Cross multiply
    2,545.41x = 3,818.72 × 790.33
  4. Step 4: Simplify right side
    2,545.41x = 3,018,027.46
  5. Step 5: Solve for x
    x = 3,018,027.46/2,545.41
  6. Step 6: Final answer
    x = 1,185.67

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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.