Home / 1,516.17-2,274.50-542.08

Finding the Fourth Proportional to 1,516.17, 2,274.50 and 542.08

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Solution

The fourth proportional to 1,516.17, 2,274.50 and 542.08 is: 813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.17 : 2,274.50 = 542.08 : x
  2. Step 2: Convert to fraction form
    1,516.17/2,274.50 = 542.08/x
  3. Step 3: Cross multiply
    1,516.17x = 2,274.50 × 542.08
  4. Step 4: Simplify right side
    1,516.17x = 1,232,960.96
  5. Step 5: Solve for x
    x = 1,232,960.96/1,516.17
  6. Step 6: Final answer
    x = 813.21

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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.