Home / 1,643.12-2,464.10-547.24

Finding the Fourth Proportional to 1,643.12, 2,464.10 and 547.24

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Solution

The fourth proportional to 1,643.12, 2,464.10 and 547.24 is: 820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.12 : 2,464.10 = 547.24 : x
  2. Step 2: Convert to fraction form
    1,643.12/2,464.10 = 547.24/x
  3. Step 3: Cross multiply
    1,643.12x = 2,464.10 × 547.24
  4. Step 4: Simplify right side
    1,643.12x = 1,348,454.08
  5. Step 5: Solve for x
    x = 1,348,454.08/1,643.12
  6. Step 6: Final answer
    x = 820.67

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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.