Home / 2,038.51-2,813.28-1,142.26

Finding the Fourth Proportional to 2,038.51, 2,813.28 and 1,142.26

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Solution

The fourth proportional to 2,038.51, 2,813.28 and 1,142.26 is: 1,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.51 : 2,813.28 = 1,142.26 : x
  2. Step 2: Convert to fraction form
    2,038.51/2,813.28 = 1,142.26/x
  3. Step 3: Cross multiply
    2,038.51x = 2,813.28 × 1,142.26
  4. Step 4: Simplify right side
    2,038.51x = 3,213,497.21
  5. Step 5: Solve for x
    x = 3,213,497.21/2,038.51
  6. Step 6: Final answer
    x = 1,576.40

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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.