Home / 2,047.24-3,071.58-892.84

Finding the Fourth Proportional to 2,047.24, 3,071.58 and 892.84

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Solution

The fourth proportional to 2,047.24, 3,071.58 and 892.84 is: 1,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.24 : 3,071.58 = 892.84 : x
  2. Step 2: Convert to fraction form
    2,047.24/3,071.58 = 892.84/x
  3. Step 3: Cross multiply
    2,047.24x = 3,071.58 × 892.84
  4. Step 4: Simplify right side
    2,047.24x = 2,742,429.49
  5. Step 5: Solve for x
    x = 2,742,429.49/2,047.24
  6. Step 6: Final answer
    x = 1,339.57

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1.5x scale

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.