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Finding the Fourth Proportional to 1,425.81, 2,138.67 and 501.39

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Solution

The fourth proportional to 1,425.81, 2,138.67 and 501.39 is: 752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.81 : 2,138.67 = 501.39 : x
  2. Step 2: Convert to fraction form
    1,425.81/2,138.67 = 501.39/x
  3. Step 3: Cross multiply
    1,425.81x = 2,138.67 × 501.39
  4. Step 4: Simplify right side
    1,425.81x = 1,072,307.75
  5. Step 5: Solve for x
    x = 1,072,307.75/1,425.81
  6. Step 6: Final answer
    x = 752.07

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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.