Home / 1,645.50-2,457.40-1,464.06

Finding the Fourth Proportional to 1,645.50, 2,457.40 and 1,464.06

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Solution

The fourth proportional to 1,645.50, 2,457.40 and 1,464.06 is: 2,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.50 : 2,457.40 = 1,464.06 : x
  2. Step 2: Convert to fraction form
    1,645.50/2,457.40 = 1,464.06/x
  3. Step 3: Cross multiply
    1,645.50x = 2,457.40 × 1,464.06
  4. Step 4: Simplify right side
    1,645.50x = 3,597,781.04
  5. Step 5: Solve for x
    x = 3,597,781.04/1,645.50
  6. Step 6: Final answer
    x = 2,186.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.