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Finding the Fourth Proportional to 2,762.94, 4,148.51 and 2,713.74

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Solution

The fourth proportional to 2,762.94, 4,148.51 and 2,713.74 is: 4,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.94 : 4,148.51 = 2,713.74 : x
  2. Step 2: Convert to fraction form
    2,762.94/4,148.51 = 2,713.74/x
  3. Step 3: Cross multiply
    2,762.94x = 4,148.51 × 2,713.74
  4. Step 4: Simplify right side
    2,762.94x = 11,257,977.53
  5. Step 5: Solve for x
    x = 11,257,977.53/2,762.94
  6. Step 6: Final answer
    x = 4,074.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.