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Finding the Fourth Proportional to 2,440.48, 3,657.48 and 2,114.32

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Solution

The fourth proportional to 2,440.48, 3,657.48 and 2,114.32 is: 3,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.48 : 3,657.48 = 2,114.32 : x
  2. Step 2: Convert to fraction form
    2,440.48/3,657.48 = 2,114.32/x
  3. Step 3: Cross multiply
    2,440.48x = 3,657.48 × 2,114.32
  4. Step 4: Simplify right side
    2,440.48x = 7,733,083.11
  5. Step 5: Solve for x
    x = 7,733,083.11/2,440.48
  6. Step 6: Final answer
    x = 3,168.67

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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.