Home / 1,530.20-2,111.60-867.18

Finding the Fourth Proportional to 1,530.20, 2,111.60 and 867.18

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Solution

The fourth proportional to 1,530.20, 2,111.60 and 867.18 is: 1,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.20 : 2,111.60 = 867.18 : x
  2. Step 2: Convert to fraction form
    1,530.20/2,111.60 = 867.18/x
  3. Step 3: Cross multiply
    1,530.20x = 2,111.60 × 867.18
  4. Step 4: Simplify right side
    1,530.20x = 1,831,137.29
  5. Step 5: Solve for x
    x = 1,831,137.29/1,530.20
  6. Step 6: Final answer
    x = 1,196.67

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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.