Home / 2,029.68-2,802.78-1,284.96

Finding the Fourth Proportional to 2,029.68, 2,802.78 and 1,284.96

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Solution

The fourth proportional to 2,029.68, 2,802.78 and 1,284.96 is: 1,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.68 : 2,802.78 = 1,284.96 : x
  2. Step 2: Convert to fraction form
    2,029.68/2,802.78 = 1,284.96/x
  3. Step 3: Cross multiply
    2,029.68x = 2,802.78 × 1,284.96
  4. Step 4: Simplify right side
    2,029.68x = 3,601,460.19
  5. Step 5: Solve for x
    x = 3,601,460.19/2,029.68
  6. Step 6: Final answer
    x = 1,774.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.