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Finding the Fourth Proportional to 2,135.34, 3,203.10 and 1,040.67

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Solution

The fourth proportional to 2,135.34, 3,203.10 and 1,040.67 is: 1,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.34 : 3,203.10 = 1,040.67 : x
  2. Step 2: Convert to fraction form
    2,135.34/3,203.10 = 1,040.67/x
  3. Step 3: Cross multiply
    2,135.34x = 3,203.10 × 1,040.67
  4. Step 4: Simplify right side
    2,135.34x = 3,333,370.08
  5. Step 5: Solve for x
    x = 3,333,370.08/2,135.34
  6. Step 6: Final answer
    x = 1,561.05

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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.