Home / 1,541.37-2,312.06-387.12

Finding the Fourth Proportional to 1,541.37, 2,312.06 and 387.12

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Solution

The fourth proportional to 1,541.37, 2,312.06 and 387.12 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.37 : 2,312.06 = 387.12 : x
  2. Step 2: Convert to fraction form
    1,541.37/2,312.06 = 387.12/x
  3. Step 3: Cross multiply
    1,541.37x = 2,312.06 × 387.12
  4. Step 4: Simplify right side
    1,541.37x = 895,044.67
  5. Step 5: Solve for x
    x = 895,044.67/1,541.37
  6. Step 6: Final answer
    x = 580.68

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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.