Home / 2,980.46-4,113-1,654.14

Finding the Fourth Proportional to 2,980.46, 4,113 and 1,654.14

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Solution

The fourth proportional to 2,980.46, 4,113 and 1,654.14 is: 2,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.46 : 4,113 = 1,654.14 : x
  2. Step 2: Convert to fraction form
    2,980.46/4,113 = 1,654.14/x
  3. Step 3: Cross multiply
    2,980.46x = 4,113 × 1,654.14
  4. Step 4: Simplify right side
    2,980.46x = 6,803,477.82
  5. Step 5: Solve for x
    x = 6,803,477.82/2,980.46
  6. Step 6: Final answer
    x = 2,282.69

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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.