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Finding the Fourth Proportional to 1,425.40, 2,138.10 and 501.10

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Solution

The fourth proportional to 1,425.40, 2,138.10 and 501.10 is: 751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.40 : 2,138.10 = 501.10 : x
  2. Step 2: Convert to fraction form
    1,425.40/2,138.10 = 501.10/x
  3. Step 3: Cross multiply
    1,425.40x = 2,138.10 × 501.10
  4. Step 4: Simplify right side
    1,425.40x = 1,071,401.91
  5. Step 5: Solve for x
    x = 1,071,401.91/1,425.40
  6. Step 6: Final answer
    x = 751.65

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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.