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Finding the Fourth Proportional to 2,045.34, 3,068.28 and 746.37

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Solution

The fourth proportional to 2,045.34, 3,068.28 and 746.37 is: 1,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.34 : 3,068.28 = 746.37 : x
  2. Step 2: Convert to fraction form
    2,045.34/3,068.28 = 746.37/x
  3. Step 3: Cross multiply
    2,045.34x = 3,068.28 × 746.37
  4. Step 4: Simplify right side
    2,045.34x = 2,290,072.14
  5. Step 5: Solve for x
    x = 2,290,072.14/2,045.34
  6. Step 6: Final answer
    x = 1,119.65

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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.