Home / 1,828.16-2,526.24-1,208

Finding the Fourth Proportional to 1,828.16, 2,526.24 and 1,208

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Solution

The fourth proportional to 1,828.16, 2,526.24 and 1,208 is: 1,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.16 : 2,526.24 = 1,208 : x
  2. Step 2: Convert to fraction form
    1,828.16/2,526.24 = 1,208/x
  3. Step 3: Cross multiply
    1,828.16x = 2,526.24 × 1,208
  4. Step 4: Simplify right side
    1,828.16x = 3,051,697.92
  5. Step 5: Solve for x
    x = 3,051,697.92/1,828.16
  6. Step 6: Final answer
    x = 1,669.27

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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.