Home / 1,464.09-2,196.45-1,424.01

Finding the Fourth Proportional to 1,464.09, 2,196.45 and 1,424.01

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Solution

The fourth proportional to 1,464.09, 2,196.45 and 1,424.01 is: 2,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.09 : 2,196.45 = 1,424.01 : x
  2. Step 2: Convert to fraction form
    1,464.09/2,196.45 = 1,424.01/x
  3. Step 3: Cross multiply
    1,464.09x = 2,196.45 × 1,424.01
  4. Step 4: Simplify right side
    1,464.09x = 3,127,766.76
  5. Step 5: Solve for x
    x = 3,127,766.76/1,464.09
  6. Step 6: Final answer
    x = 2,136.32

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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.