Home / 1,541.34-2,312.01-1,309.88

Finding the Fourth Proportional to 1,541.34, 2,312.01 and 1,309.88

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Solution

The fourth proportional to 1,541.34, 2,312.01 and 1,309.88 is: 1,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.34 : 2,312.01 = 1,309.88 : x
  2. Step 2: Convert to fraction form
    1,541.34/2,312.01 = 1,309.88/x
  3. Step 3: Cross multiply
    1,541.34x = 2,312.01 × 1,309.88
  4. Step 4: Simplify right side
    1,541.34x = 3,028,461.44
  5. Step 5: Solve for x
    x = 3,028,461.44/1,541.34
  6. Step 6: Final answer
    x = 1,964.82

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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.