Home / 2,154.38-2,966.34-1,624

Finding the Fourth Proportional to 2,154.38, 2,966.34 and 1,624

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Solution

The fourth proportional to 2,154.38, 2,966.34 and 1,624 is: 2,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.38 : 2,966.34 = 1,624 : x
  2. Step 2: Convert to fraction form
    2,154.38/2,966.34 = 1,624/x
  3. Step 3: Cross multiply
    2,154.38x = 2,966.34 × 1,624
  4. Step 4: Simplify right side
    2,154.38x = 4,817,336.16
  5. Step 5: Solve for x
    x = 4,817,336.16/2,154.38
  6. Step 6: Final answer
    x = 2,236.07

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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.