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Finding the Fourth Proportional to 1,564.21, 2,158.53 and 855.92

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Solution

The fourth proportional to 1,564.21, 2,158.53 and 855.92 is: 1,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.21 : 2,158.53 = 855.92 : x
  2. Step 2: Convert to fraction form
    1,564.21/2,158.53 = 855.92/x
  3. Step 3: Cross multiply
    1,564.21x = 2,158.53 × 855.92
  4. Step 4: Simplify right side
    1,564.21x = 1,847,529.00
  5. Step 5: Solve for x
    x = 1,847,529.00/1,564.21
  6. Step 6: Final answer
    x = 1,181.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.