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Finding the Fourth Proportional to 2,026.94, 2,797.16 and 1,130.67

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Solution

The fourth proportional to 2,026.94, 2,797.16 and 1,130.67 is: 1,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.94 : 2,797.16 = 1,130.67 : x
  2. Step 2: Convert to fraction form
    2,026.94/2,797.16 = 1,130.67/x
  3. Step 3: Cross multiply
    2,026.94x = 2,797.16 × 1,130.67
  4. Step 4: Simplify right side
    2,026.94x = 3,162,645.26
  5. Step 5: Solve for x
    x = 3,162,645.26/2,026.94
  6. Step 6: Final answer
    x = 1,560.31

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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.