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Finding the Fourth Proportional to 1,159.34, 1,740.23 and 1,133.22

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Solution

The fourth proportional to 1,159.34, 1,740.23 and 1,133.22 is: 1,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.34 : 1,740.23 = 1,133.22 : x
  2. Step 2: Convert to fraction form
    1,159.34/1,740.23 = 1,133.22/x
  3. Step 3: Cross multiply
    1,159.34x = 1,740.23 × 1,133.22
  4. Step 4: Simplify right side
    1,159.34x = 1,972,063.44
  5. Step 5: Solve for x
    x = 1,972,063.44/1,159.34
  6. Step 6: Final answer
    x = 1,701.02

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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.