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Finding the Fourth Proportional to 2,392.76, 3,301.98 and 1,345

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Solution

The fourth proportional to 2,392.76, 3,301.98 and 1,345 is: 1,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.76 : 3,301.98 = 1,345 : x
  2. Step 2: Convert to fraction form
    2,392.76/3,301.98 = 1,345/x
  3. Step 3: Cross multiply
    2,392.76x = 3,301.98 × 1,345
  4. Step 4: Simplify right side
    2,392.76x = 4,441,163.10
  5. Step 5: Solve for x
    x = 4,441,163.10/2,392.76
  6. Step 6: Final answer
    x = 1,856.08

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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.