Home / 1,461-2,183.45-1,171.08

Finding the Fourth Proportional to 1,461, 2,183.45 and 1,171.08

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Solution

The fourth proportional to 1,461, 2,183.45 and 1,171.08 is: 1,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461 : 2,183.45 = 1,171.08 : x
  2. Step 2: Convert to fraction form
    1,461/2,183.45 = 1,171.08/x
  3. Step 3: Cross multiply
    1,461x = 2,183.45 × 1,171.08
  4. Step 4: Simplify right side
    1,461x = 2,556,994.63
  5. Step 5: Solve for x
    x = 2,556,994.63/1,461
  6. Step 6: Final answer
    x = 1,750.17

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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.