Home / 2,277.03-3,416.65-816.29

Finding the Fourth Proportional to 2,277.03, 3,416.65 and 816.29

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Solution

The fourth proportional to 2,277.03, 3,416.65 and 816.29 is: 1,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.03 : 3,416.65 = 816.29 : x
  2. Step 2: Convert to fraction form
    2,277.03/3,416.65 = 816.29/x
  3. Step 3: Cross multiply
    2,277.03x = 3,416.65 × 816.29
  4. Step 4: Simplify right side
    2,277.03x = 2,788,977.23
  5. Step 5: Solve for x
    x = 2,788,977.23/2,277.03
  6. Step 6: Final answer
    x = 1,224.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.