Home / 1,454.49-2,182.08-414.51

Finding the Fourth Proportional to 1,454.49, 2,182.08 and 414.51

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Solution

The fourth proportional to 1,454.49, 2,182.08 and 414.51 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.49 : 2,182.08 = 414.51 : x
  2. Step 2: Convert to fraction form
    1,454.49/2,182.08 = 414.51/x
  3. Step 3: Cross multiply
    1,454.49x = 2,182.08 × 414.51
  4. Step 4: Simplify right side
    1,454.49x = 904,492.32
  5. Step 5: Solve for x
    x = 904,492.32/1,454.49
  6. Step 6: Final answer
    x = 621.86

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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.