Home / 1,541.78-2,314.30-1,506.96

Finding the Fourth Proportional to 1,541.78, 2,314.30 and 1,506.96

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Solution

The fourth proportional to 1,541.78, 2,314.30 and 1,506.96 is: 2,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.78 : 2,314.30 = 1,506.96 : x
  2. Step 2: Convert to fraction form
    1,541.78/2,314.30 = 1,506.96/x
  3. Step 3: Cross multiply
    1,541.78x = 2,314.30 × 1,506.96
  4. Step 4: Simplify right side
    1,541.78x = 3,487,557.53
  5. Step 5: Solve for x
    x = 3,487,557.53/1,541.78
  6. Step 6: Final answer
    x = 2,262.03

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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.