Home / 1,461.49-2,181.83-1,410.23

Finding the Fourth Proportional to 1,461.49, 2,181.83 and 1,410.23

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Solution

The fourth proportional to 1,461.49, 2,181.83 and 1,410.23 is: 2,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.49 : 2,181.83 = 1,410.23 : x
  2. Step 2: Convert to fraction form
    1,461.49/2,181.83 = 1,410.23/x
  3. Step 3: Cross multiply
    1,461.49x = 2,181.83 × 1,410.23
  4. Step 4: Simplify right side
    1,461.49x = 3,076,882.12
  5. Step 5: Solve for x
    x = 3,076,882.12/1,461.49
  6. Step 6: Final answer
    x = 2,105.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.