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Finding the Fourth Proportional to 2,375.84, 3,564.87 and 1,059.45

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Solution

The fourth proportional to 2,375.84, 3,564.87 and 1,059.45 is: 1,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.84 : 3,564.87 = 1,059.45 : x
  2. Step 2: Convert to fraction form
    2,375.84/3,564.87 = 1,059.45/x
  3. Step 3: Cross multiply
    2,375.84x = 3,564.87 × 1,059.45
  4. Step 4: Simplify right side
    2,375.84x = 3,776,803.72
  5. Step 5: Solve for x
    x = 3,776,803.72/2,375.84
  6. Step 6: Final answer
    x = 1,589.67

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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.