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Finding the Fourth Proportional to 2,040, 3,060 and 501

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Solution

The fourth proportional to 2,040, 3,060 and 501 is: 751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040 : 3,060 = 501 : x
  2. Step 2: Convert to fraction form
    2,040/3,060 = 501/x
  3. Step 3: Cross multiply
    2,040x = 3,060 × 501
  4. Step 4: Simplify right side
    2,040x = 1,533,060
  5. Step 5: Solve for x
    x = 1,533,060/2,040
  6. Step 6: Final answer
    x = 751.50

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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.