Home / 1,981.64-2,971.58-1,057.02

Finding the Fourth Proportional to 1,981.64, 2,971.58 and 1,057.02

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Solution

The fourth proportional to 1,981.64, 2,971.58 and 1,057.02 is: 1,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.64 : 2,971.58 = 1,057.02 : x
  2. Step 2: Convert to fraction form
    1,981.64/2,971.58 = 1,057.02/x
  3. Step 3: Cross multiply
    1,981.64x = 2,971.58 × 1,057.02
  4. Step 4: Simplify right side
    1,981.64x = 3,141,014.21
  5. Step 5: Solve for x
    x = 3,141,014.21/1,981.64
  6. Step 6: Final answer
    x = 1,585.06

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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.