Home / 1,219.16-1,829.01-353.41

Finding the Fourth Proportional to 1,219.16, 1,829.01 and 353.41

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Solution

The fourth proportional to 1,219.16, 1,829.01 and 353.41 is: 530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.16 : 1,829.01 = 353.41 : x
  2. Step 2: Convert to fraction form
    1,219.16/1,829.01 = 353.41/x
  3. Step 3: Cross multiply
    1,219.16x = 1,829.01 × 353.41
  4. Step 4: Simplify right side
    1,219.16x = 646,390.42
  5. Step 5: Solve for x
    x = 646,390.42/1,219.16
  6. Step 6: Final answer
    x = 530.19

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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.