Home / 1,541.75-2,312.63-387.50

Finding the Fourth Proportional to 1,541.75, 2,312.63 and 387.50

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Solution

The fourth proportional to 1,541.75, 2,312.63 and 387.50 is: 581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.75 : 2,312.63 = 387.50 : x
  2. Step 2: Convert to fraction form
    1,541.75/2,312.63 = 387.50/x
  3. Step 3: Cross multiply
    1,541.75x = 2,312.63 × 387.50
  4. Step 4: Simplify right side
    1,541.75x = 896,142.19
  5. Step 5: Solve for x
    x = 896,142.19/1,541.75
  6. Step 6: Final answer
    x = 581.25

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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.