Home / 2,477.67-3,710.43-1,176

Finding the Fourth Proportional to 2,477.67, 3,710.43 and 1,176

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Solution

The fourth proportional to 2,477.67, 3,710.43 and 1,176 is: 1,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.67 : 3,710.43 = 1,176 : x
  2. Step 2: Convert to fraction form
    2,477.67/3,710.43 = 1,176/x
  3. Step 3: Cross multiply
    2,477.67x = 3,710.43 × 1,176
  4. Step 4: Simplify right side
    2,477.67x = 4,363,465.68
  5. Step 5: Solve for x
    x = 4,363,465.68/2,477.67
  6. Step 6: Final answer
    x = 1,761.12

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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.