Home / 1,461.77-2,181.40-1,306.06

Finding the Fourth Proportional to 1,461.77, 2,181.40 and 1,306.06

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Solution

The fourth proportional to 1,461.77, 2,181.40 and 1,306.06 is: 1,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.77 : 2,181.40 = 1,306.06 : x
  2. Step 2: Convert to fraction form
    1,461.77/2,181.40 = 1,306.06/x
  3. Step 3: Cross multiply
    1,461.77x = 2,181.40 × 1,306.06
  4. Step 4: Simplify right side
    1,461.77x = 2,849,028.38
  5. Step 5: Solve for x
    x = 2,849,028.38/1,461.77
  6. Step 6: Final answer
    x = 1,949.03

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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.