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Finding the Fourth Proportional to 2,710.16, 3,736.72 and 2,289.76

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Solution

The fourth proportional to 2,710.16, 3,736.72 and 2,289.76 is: 3,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.16 : 3,736.72 = 2,289.76 : x
  2. Step 2: Convert to fraction form
    2,710.16/3,736.72 = 2,289.76/x
  3. Step 3: Cross multiply
    2,710.16x = 3,736.72 × 2,289.76
  4. Step 4: Simplify right side
    2,710.16x = 8,556,191.99
  5. Step 5: Solve for x
    x = 8,556,191.99/2,710.16
  6. Step 6: Final answer
    x = 3,157.08

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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.