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Finding the Fourth Proportional to 2,704.34, 4,054.10 and 1,059.74

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Solution

The fourth proportional to 2,704.34, 4,054.10 and 1,059.74 is: 1,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.34 : 4,054.10 = 1,059.74 : x
  2. Step 2: Convert to fraction form
    2,704.34/4,054.10 = 1,059.74/x
  3. Step 3: Cross multiply
    2,704.34x = 4,054.10 × 1,059.74
  4. Step 4: Simplify right side
    2,704.34x = 4,296,291.93
  5. Step 5: Solve for x
    x = 4,296,291.93/2,704.34
  6. Step 6: Final answer
    x = 1,588.67

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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.