Home / 2,509.44-3,464.72-1,566.67

Finding the Fourth Proportional to 2,509.44, 3,464.72 and 1,566.67

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Solution

The fourth proportional to 2,509.44, 3,464.72 and 1,566.67 is: 2,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.44 : 3,464.72 = 1,566.67 : x
  2. Step 2: Convert to fraction form
    2,509.44/3,464.72 = 1,566.67/x
  3. Step 3: Cross multiply
    2,509.44x = 3,464.72 × 1,566.67
  4. Step 4: Simplify right side
    2,509.44x = 5,428,068.14
  5. Step 5: Solve for x
    x = 5,428,068.14/2,509.44
  6. Step 6: Final answer
    x = 2,163.06

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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.