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Finding the Fourth Proportional to 3,130.75, 4,697.75 and 1,591.75

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Solution

The fourth proportional to 3,130.75, 4,697.75 and 1,591.75 is: 2,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.75 : 4,697.75 = 1,591.75 : x
  2. Step 2: Convert to fraction form
    3,130.75/4,697.75 = 1,591.75/x
  3. Step 3: Cross multiply
    3,130.75x = 4,697.75 × 1,591.75
  4. Step 4: Simplify right side
    3,130.75x = 7,477,635.60
  5. Step 5: Solve for x
    x = 7,477,635.60/3,130.75
  6. Step 6: Final answer
    x = 2,388.45

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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.