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Finding the Fourth Proportional to 1,140.34, 1,720.05 and 1,072.91

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Solution

The fourth proportional to 1,140.34, 1,720.05 and 1,072.91 is: 1,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.34 : 1,720.05 = 1,072.91 : x
  2. Step 2: Convert to fraction form
    1,140.34/1,720.05 = 1,072.91/x
  3. Step 3: Cross multiply
    1,140.34x = 1,720.05 × 1,072.91
  4. Step 4: Simplify right side
    1,140.34x = 1,845,458.85
  5. Step 5: Solve for x
    x = 1,845,458.85/1,140.34
  6. Step 6: Final answer
    x = 1,618.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.