Home / 2,031.90-3,045.43-977.05

Finding the Fourth Proportional to 2,031.90, 3,045.43 and 977.05

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Solution

The fourth proportional to 2,031.90, 3,045.43 and 977.05 is: 1,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.90 : 3,045.43 = 977.05 : x
  2. Step 2: Convert to fraction form
    2,031.90/3,045.43 = 977.05/x
  3. Step 3: Cross multiply
    2,031.90x = 3,045.43 × 977.05
  4. Step 4: Simplify right side
    2,031.90x = 2,975,537.38
  5. Step 5: Solve for x
    x = 2,975,537.38/2,031.90
  6. Step 6: Final answer
    x = 1,464.41

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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.