Home / 1,526.85-2,107.04-828.23

Finding the Fourth Proportional to 1,526.85, 2,107.04 and 828.23

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Solution

The fourth proportional to 1,526.85, 2,107.04 and 828.23 is: 1,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.85 : 2,107.04 = 828.23 : x
  2. Step 2: Convert to fraction form
    1,526.85/2,107.04 = 828.23/x
  3. Step 3: Cross multiply
    1,526.85x = 2,107.04 × 828.23
  4. Step 4: Simplify right side
    1,526.85x = 1,745,099.06
  5. Step 5: Solve for x
    x = 1,745,099.06/1,526.85
  6. Step 6: Final answer
    x = 1,142.94

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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.