Home / 2,226.02-3,072.16-1,430.20

Finding the Fourth Proportional to 2,226.02, 3,072.16 and 1,430.20

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Solution

The fourth proportional to 2,226.02, 3,072.16 and 1,430.20 is: 1,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.02 : 3,072.16 = 1,430.20 : x
  2. Step 2: Convert to fraction form
    2,226.02/3,072.16 = 1,430.20/x
  3. Step 3: Cross multiply
    2,226.02x = 3,072.16 × 1,430.20
  4. Step 4: Simplify right side
    2,226.02x = 4,393,803.23
  5. Step 5: Solve for x
    x = 4,393,803.23/2,226.02
  6. Step 6: Final answer
    x = 1,973.84

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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.