Home / 1,828.22-2,521.73-1,164.02

Finding the Fourth Proportional to 1,828.22, 2,521.73 and 1,164.02

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Solution

The fourth proportional to 1,828.22, 2,521.73 and 1,164.02 is: 1,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.22 : 2,521.73 = 1,164.02 : x
  2. Step 2: Convert to fraction form
    1,828.22/2,521.73 = 1,164.02/x
  3. Step 3: Cross multiply
    1,828.22x = 2,521.73 × 1,164.02
  4. Step 4: Simplify right side
    1,828.22x = 2,935,334.46
  5. Step 5: Solve for x
    x = 2,935,334.46/1,828.22
  6. Step 6: Final answer
    x = 1,605.57

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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.