Home / 1,532.34-2,298.53-378.09

Finding the Fourth Proportional to 1,532.34, 2,298.53 and 378.09

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Solution

The fourth proportional to 1,532.34, 2,298.53 and 378.09 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.34 : 2,298.53 = 378.09 : x
  2. Step 2: Convert to fraction form
    1,532.34/2,298.53 = 378.09/x
  3. Step 3: Cross multiply
    1,532.34x = 2,298.53 × 378.09
  4. Step 4: Simplify right side
    1,532.34x = 869,049.32
  5. Step 5: Solve for x
    x = 869,049.32/1,532.34
  6. Step 6: Final answer
    x = 567.14

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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.