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Finding the Fourth Proportional to 2,362.57, 3,536.56 and 1,390.57

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Solution

The fourth proportional to 2,362.57, 3,536.56 and 1,390.57 is: 2,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.57 : 3,536.56 = 1,390.57 : x
  2. Step 2: Convert to fraction form
    2,362.57/3,536.56 = 1,390.57/x
  3. Step 3: Cross multiply
    2,362.57x = 3,536.56 × 1,390.57
  4. Step 4: Simplify right side
    2,362.57x = 4,917,827.14
  5. Step 5: Solve for x
    x = 4,917,827.14/2,362.57
  6. Step 6: Final answer
    x = 2,081.56

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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.