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Finding the Fourth Proportional to 2,367.57, 3,548.93 and 2,124.57

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Solution

The fourth proportional to 2,367.57, 3,548.93 and 2,124.57 is: 3,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.57 : 3,548.93 = 2,124.57 : x
  2. Step 2: Convert to fraction form
    2,367.57/3,548.93 = 2,124.57/x
  3. Step 3: Cross multiply
    2,367.57x = 3,548.93 × 2,124.57
  4. Step 4: Simplify right side
    2,367.57x = 7,539,939.59
  5. Step 5: Solve for x
    x = 7,539,939.59/2,367.57
  6. Step 6: Final answer
    x = 3,184.67

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1.5x scale

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.