Home / 2,038.25-3,056.51-942.21

Finding the Fourth Proportional to 2,038.25, 3,056.51 and 942.21

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Solution

The fourth proportional to 2,038.25, 3,056.51 and 942.21 is: 1,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.25 : 3,056.51 = 942.21 : x
  2. Step 2: Convert to fraction form
    2,038.25/3,056.51 = 942.21/x
  3. Step 3: Cross multiply
    2,038.25x = 3,056.51 × 942.21
  4. Step 4: Simplify right side
    2,038.25x = 2,879,869.58
  5. Step 5: Solve for x
    x = 2,879,869.58/2,038.25
  6. Step 6: Final answer
    x = 1,412.92

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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.