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Finding the Fourth Proportional to 1,358.78, 1,872.59 and 1,109.30

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Solution

The fourth proportional to 1,358.78, 1,872.59 and 1,109.30 is: 1,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.78 : 1,872.59 = 1,109.30 : x
  2. Step 2: Convert to fraction form
    1,358.78/1,872.59 = 1,109.30/x
  3. Step 3: Cross multiply
    1,358.78x = 1,872.59 × 1,109.30
  4. Step 4: Simplify right side
    1,358.78x = 2,077,249.18
  5. Step 5: Solve for x
    x = 2,077,249.18/1,358.78
  6. Step 6: Final answer
    x = 1,528.77

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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.