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Finding the Fourth Proportional to 2,356, 3,252.09 and 1,424.50

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Solution

The fourth proportional to 2,356, 3,252.09 and 1,424.50 is: 1,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356 : 3,252.09 = 1,424.50 : x
  2. Step 2: Convert to fraction form
    2,356/3,252.09 = 1,424.50/x
  3. Step 3: Cross multiply
    2,356x = 3,252.09 × 1,424.50
  4. Step 4: Simplify right side
    2,356x = 4,632,602.21
  5. Step 5: Solve for x
    x = 4,632,602.21/2,356
  6. Step 6: Final answer
    x = 1,966.30

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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.