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Finding the Fourth Proportional to 1,285.26, 1,925.05 and 1,089.24

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Solution

The fourth proportional to 1,285.26, 1,925.05 and 1,089.24 is: 1,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.26 : 1,925.05 = 1,089.24 : x
  2. Step 2: Convert to fraction form
    1,285.26/1,925.05 = 1,089.24/x
  3. Step 3: Cross multiply
    1,285.26x = 1,925.05 × 1,089.24
  4. Step 4: Simplify right side
    1,285.26x = 2,096,841.46
  5. Step 5: Solve for x
    x = 2,096,841.46/1,285.26
  6. Step 6: Final answer
    x = 1,631.45

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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.