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Finding the Fourth Proportional to 2,265.44, 3,395.10 and 1,167.50

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Solution

The fourth proportional to 2,265.44, 3,395.10 and 1,167.50 is: 1,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.44 : 3,395.10 = 1,167.50 : x
  2. Step 2: Convert to fraction form
    2,265.44/3,395.10 = 1,167.50/x
  3. Step 3: Cross multiply
    2,265.44x = 3,395.10 × 1,167.50
  4. Step 4: Simplify right side
    2,265.44x = 3,963,779.25
  5. Step 5: Solve for x
    x = 3,963,779.25/2,265.44
  6. Step 6: Final answer
    x = 1,749.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.