Home / 2,437.14-3,656.92-977.30

Finding the Fourth Proportional to 2,437.14, 3,656.92 and 977.30

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Solution

The fourth proportional to 2,437.14, 3,656.92 and 977.30 is: 1,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.14 : 3,656.92 = 977.30 : x
  2. Step 2: Convert to fraction form
    2,437.14/3,656.92 = 977.30/x
  3. Step 3: Cross multiply
    2,437.14x = 3,656.92 × 977.30
  4. Step 4: Simplify right side
    2,437.14x = 3,573,907.92
  5. Step 5: Solve for x
    x = 3,573,907.92/2,437.14
  6. Step 6: Final answer
    x = 1,466.44

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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.