Home / 1,827.66-2,741.78-1,006.32

Finding the Fourth Proportional to 1,827.66, 2,741.78 and 1,006.32

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Solution

The fourth proportional to 1,827.66, 2,741.78 and 1,006.32 is: 1,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.66 : 2,741.78 = 1,006.32 : x
  2. Step 2: Convert to fraction form
    1,827.66/2,741.78 = 1,006.32/x
  3. Step 3: Cross multiply
    1,827.66x = 2,741.78 × 1,006.32
  4. Step 4: Simplify right side
    1,827.66x = 2,759,108.05
  5. Step 5: Solve for x
    x = 2,759,108.05/1,827.66
  6. Step 6: Final answer
    x = 1,509.64

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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.