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Finding the Fourth Proportional to 2,176.02, 3,263.72 and 715.19

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Solution

The fourth proportional to 2,176.02, 3,263.72 and 715.19 is: 1,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.02 : 3,263.72 = 715.19 : x
  2. Step 2: Convert to fraction form
    2,176.02/3,263.72 = 715.19/x
  3. Step 3: Cross multiply
    2,176.02x = 3,263.72 × 715.19
  4. Step 4: Simplify right side
    2,176.02x = 2,334,160.01
  5. Step 5: Solve for x
    x = 2,334,160.01/2,176.02
  6. Step 6: Final answer
    x = 1,072.67

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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.