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Finding the Fourth Proportional to 1,863.10, 2,795.06 and 564.67

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Solution

The fourth proportional to 1,863.10, 2,795.06 and 564.67 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.10 : 2,795.06 = 564.67 : x
  2. Step 2: Convert to fraction form
    1,863.10/2,795.06 = 564.67/x
  3. Step 3: Cross multiply
    1,863.10x = 2,795.06 × 564.67
  4. Step 4: Simplify right side
    1,863.10x = 1,578,288.26
  5. Step 5: Solve for x
    x = 1,578,288.26/1,863.10
  6. Step 6: Final answer
    x = 847.13

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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.