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Finding the Fourth Proportional to 2,697.63, 4,045.59 and 1,137.34

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Solution

The fourth proportional to 2,697.63, 4,045.59 and 1,137.34 is: 1,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.63 : 4,045.59 = 1,137.34 : x
  2. Step 2: Convert to fraction form
    2,697.63/4,045.59 = 1,137.34/x
  3. Step 3: Cross multiply
    2,697.63x = 4,045.59 × 1,137.34
  4. Step 4: Simplify right side
    2,697.63x = 4,601,216.39
  5. Step 5: Solve for x
    x = 4,601,216.39/2,697.63
  6. Step 6: Final answer
    x = 1,705.65

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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.