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Finding the Fourth Proportional to 2,684.85, 3,706.82 and 1,845.28

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Solution

The fourth proportional to 2,684.85, 3,706.82 and 1,845.28 is: 2,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.85 : 3,706.82 = 1,845.28 : x
  2. Step 2: Convert to fraction form
    2,684.85/3,706.82 = 1,845.28/x
  3. Step 3: Cross multiply
    2,684.85x = 3,706.82 × 1,845.28
  4. Step 4: Simplify right side
    2,684.85x = 6,840,120.81
  5. Step 5: Solve for x
    x = 6,840,120.81/2,684.85
  6. Step 6: Final answer
    x = 2,547.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.