Home / 1,646.09-2,466.69-914.66

Finding the Fourth Proportional to 1,646.09, 2,466.69 and 914.66

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Solution

The fourth proportional to 1,646.09, 2,466.69 and 914.66 is: 1,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.09 : 2,466.69 = 914.66 : x
  2. Step 2: Convert to fraction form
    1,646.09/2,466.69 = 914.66/x
  3. Step 3: Cross multiply
    1,646.09x = 2,466.69 × 914.66
  4. Step 4: Simplify right side
    1,646.09x = 2,256,170.34
  5. Step 5: Solve for x
    x = 2,256,170.34/1,646.09
  6. Step 6: Final answer
    x = 1,370.63

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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.