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Finding the Fourth Proportional to 2,345.00, 3,232.10 and 2,146.37

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Solution

The fourth proportional to 2,345.00, 3,232.10 and 2,146.37 is: 2,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.00 : 3,232.10 = 2,146.37 : x
  2. Step 2: Convert to fraction form
    2,345.00/3,232.10 = 2,146.37/x
  3. Step 3: Cross multiply
    2,345.00x = 3,232.10 × 2,146.37
  4. Step 4: Simplify right side
    2,345.00x = 6,937,255.58
  5. Step 5: Solve for x
    x = 6,937,255.58/2,345.00
  6. Step 6: Final answer
    x = 2,958.32

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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.