Home / 2,376.07-3,563.77-816.05

Finding the Fourth Proportional to 2,376.07, 3,563.77 and 816.05

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Solution

The fourth proportional to 2,376.07, 3,563.77 and 816.05 is: 1,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.07 : 3,563.77 = 816.05 : x
  2. Step 2: Convert to fraction form
    2,376.07/3,563.77 = 816.05/x
  3. Step 3: Cross multiply
    2,376.07x = 3,563.77 × 816.05
  4. Step 4: Simplify right side
    2,376.07x = 2,908,214.51
  5. Step 5: Solve for x
    x = 2,908,214.51/2,376.07
  6. Step 6: Final answer
    x = 1,223.96

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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.