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Finding the Fourth Proportional to 1,159.40, 1,741.20 and 1,107.50

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Solution

The fourth proportional to 1,159.40, 1,741.20 and 1,107.50 is: 1,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.40 : 1,741.20 = 1,107.50 : x
  2. Step 2: Convert to fraction form
    1,159.40/1,741.20 = 1,107.50/x
  3. Step 3: Cross multiply
    1,159.40x = 1,741.20 × 1,107.50
  4. Step 4: Simplify right side
    1,159.40x = 1,928,379
  5. Step 5: Solve for x
    x = 1,928,379/1,159.40
  6. Step 6: Final answer
    x = 1,663.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.