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Finding the Fourth Proportional to 2,483.74, 3,428.25 and 1,422.10

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Solution

The fourth proportional to 2,483.74, 3,428.25 and 1,422.10 is: 1,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.74 : 3,428.25 = 1,422.10 : x
  2. Step 2: Convert to fraction form
    2,483.74/3,428.25 = 1,422.10/x
  3. Step 3: Cross multiply
    2,483.74x = 3,428.25 × 1,422.10
  4. Step 4: Simplify right side
    2,483.74x = 4,875,305.75
  5. Step 5: Solve for x
    x = 4,875,305.75/2,483.74
  6. Step 6: Final answer
    x = 1,962.89

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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.