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Finding the Fourth Proportional to 2,360.54, 3,538.31 and 1,126.26

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Solution

The fourth proportional to 2,360.54, 3,538.31 and 1,126.26 is: 1,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.54 : 3,538.31 = 1,126.26 : x
  2. Step 2: Convert to fraction form
    2,360.54/3,538.31 = 1,126.26/x
  3. Step 3: Cross multiply
    2,360.54x = 3,538.31 × 1,126.26
  4. Step 4: Simplify right side
    2,360.54x = 3,985,051.39
  5. Step 5: Solve for x
    x = 3,985,051.39/2,360.54
  6. Step 6: Final answer
    x = 1,688.19

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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.