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Finding the Fourth Proportional to 2,760.34, 3,809.28 and 1,501.40

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Solution

The fourth proportional to 2,760.34, 3,809.28 and 1,501.40 is: 2,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.34 : 3,809.28 = 1,501.40 : x
  2. Step 2: Convert to fraction form
    2,760.34/3,809.28 = 1,501.40/x
  3. Step 3: Cross multiply
    2,760.34x = 3,809.28 × 1,501.40
  4. Step 4: Simplify right side
    2,760.34x = 5,719,252.99
  5. Step 5: Solve for x
    x = 5,719,252.99/2,760.34
  6. Step 6: Final answer
    x = 2,071.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.