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Finding the Fourth Proportional to 1,736.40, 2,597.40 and 1,477.20

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Solution

The fourth proportional to 1,736.40, 2,597.40 and 1,477.20 is: 2,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.40 : 2,597.40 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    1,736.40/2,597.40 = 1,477.20/x
  3. Step 3: Cross multiply
    1,736.40x = 2,597.40 × 1,477.20
  4. Step 4: Simplify right side
    1,736.40x = 3,836,879.28
  5. Step 5: Solve for x
    x = 3,836,879.28/1,736.40
  6. Step 6: Final answer
    x = 2,209.67

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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.