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Finding the Fourth Proportional to 2,684.88, 3,703.14 and 2,153.18

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Solution

The fourth proportional to 2,684.88, 3,703.14 and 2,153.18 is: 2,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.88 : 3,703.14 = 2,153.18 : x
  2. Step 2: Convert to fraction form
    2,684.88/3,703.14 = 2,153.18/x
  3. Step 3: Cross multiply
    2,684.88x = 3,703.14 × 2,153.18
  4. Step 4: Simplify right side
    2,684.88x = 7,973,526.99
  5. Step 5: Solve for x
    x = 7,973,526.99/2,684.88
  6. Step 6: Final answer
    x = 2,969.79

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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.