Home / 1,828.75-2,743.57-530.19

Finding the Fourth Proportional to 1,828.75, 2,743.57 and 530.19

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Solution

The fourth proportional to 1,828.75, 2,743.57 and 530.19 is: 795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.75 : 2,743.57 = 530.19 : x
  2. Step 2: Convert to fraction form
    1,828.75/2,743.57 = 530.19/x
  3. Step 3: Cross multiply
    1,828.75x = 2,743.57 × 530.19
  4. Step 4: Simplify right side
    1,828.75x = 1,454,613.38
  5. Step 5: Solve for x
    x = 1,454,613.38/1,828.75
  6. Step 6: Final answer
    x = 795.41

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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.