Home / 2,823.08-4,229.96-973.20

Finding the Fourth Proportional to 2,823.08, 4,229.96 and 973.20

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Solution

The fourth proportional to 2,823.08, 4,229.96 and 973.20 is: 1,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.08 : 4,229.96 = 973.20 : x
  2. Step 2: Convert to fraction form
    2,823.08/4,229.96 = 973.20/x
  3. Step 3: Cross multiply
    2,823.08x = 4,229.96 × 973.20
  4. Step 4: Simplify right side
    2,823.08x = 4,116,597.07
  5. Step 5: Solve for x
    x = 4,116,597.07/2,823.08
  6. Step 6: Final answer
    x = 1,458.19

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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.