Home / 1,586.40-2,189.10-1,146.60

Finding the Fourth Proportional to 1,586.40, 2,189.10 and 1,146.60

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Solution

The fourth proportional to 1,586.40, 2,189.10 and 1,146.60 is: 1,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.40 : 2,189.10 = 1,146.60 : x
  2. Step 2: Convert to fraction form
    1,586.40/2,189.10 = 1,146.60/x
  3. Step 3: Cross multiply
    1,586.40x = 2,189.10 × 1,146.60
  4. Step 4: Simplify right side
    1,586.40x = 2,510,022.06
  5. Step 5: Solve for x
    x = 2,510,022.06/1,586.40
  6. Step 6: Final answer
    x = 1,582.21

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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.