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Finding the Fourth Proportional to 1,528.21, 2,108.91 and 865.06

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Solution

The fourth proportional to 1,528.21, 2,108.91 and 865.06 is: 1,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.21 : 2,108.91 = 865.06 : x
  2. Step 2: Convert to fraction form
    1,528.21/2,108.91 = 865.06/x
  3. Step 3: Cross multiply
    1,528.21x = 2,108.91 × 865.06
  4. Step 4: Simplify right side
    1,528.21x = 1,824,333.68
  5. Step 5: Solve for x
    x = 1,824,333.68/1,528.21
  6. Step 6: Final answer
    x = 1,193.77

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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.