Home / 1,516.10-2,274.34-542.30

Finding the Fourth Proportional to 1,516.10, 2,274.34 and 542.30

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Solution

The fourth proportional to 1,516.10, 2,274.34 and 542.30 is: 813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.10 : 2,274.34 = 542.30 : x
  2. Step 2: Convert to fraction form
    1,516.10/2,274.34 = 542.30/x
  3. Step 3: Cross multiply
    1,516.10x = 2,274.34 × 542.30
  4. Step 4: Simplify right side
    1,516.10x = 1,233,374.58
  5. Step 5: Solve for x
    x = 1,233,374.58/1,516.10
  6. Step 6: Final answer
    x = 813.52

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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.