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Finding the Fourth Proportional to 2,706.63, 3,735.15 and 1,527.67

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Solution

The fourth proportional to 2,706.63, 3,735.15 and 1,527.67 is: 2,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.63 : 3,735.15 = 1,527.67 : x
  2. Step 2: Convert to fraction form
    2,706.63/3,735.15 = 1,527.67/x
  3. Step 3: Cross multiply
    2,706.63x = 3,735.15 × 1,527.67
  4. Step 4: Simplify right side
    2,706.63x = 5,706,068.96
  5. Step 5: Solve for x
    x = 5,706,068.96/2,706.63
  6. Step 6: Final answer
    x = 2,108.19

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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.