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Finding the Fourth Proportional to 2,049.58, 3,075.30 and 954.28

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Solution

The fourth proportional to 2,049.58, 3,075.30 and 954.28 is: 1,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.58 : 3,075.30 = 954.28 : x
  2. Step 2: Convert to fraction form
    2,049.58/3,075.30 = 954.28/x
  3. Step 3: Cross multiply
    2,049.58x = 3,075.30 × 954.28
  4. Step 4: Simplify right side
    2,049.58x = 2,934,697.28
  5. Step 5: Solve for x
    x = 2,934,697.28/2,049.58
  6. Step 6: Final answer
    x = 1,431.85

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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.