Home / 2,038.53-3,056.04-942.33

Finding the Fourth Proportional to 2,038.53, 3,056.04 and 942.33

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Solution

The fourth proportional to 2,038.53, 3,056.04 and 942.33 is: 1,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.53 : 3,056.04 = 942.33 : x
  2. Step 2: Convert to fraction form
    2,038.53/3,056.04 = 942.33/x
  3. Step 3: Cross multiply
    2,038.53x = 3,056.04 × 942.33
  4. Step 4: Simplify right side
    2,038.53x = 2,879,798.17
  5. Step 5: Solve for x
    x = 2,879,798.17/2,038.53
  6. Step 6: Final answer
    x = 1,412.68

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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.