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Finding the Fourth Proportional to 2,459.94, 3,394.76 and 1,412

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Solution

The fourth proportional to 2,459.94, 3,394.76 and 1,412 is: 1,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.94 : 3,394.76 = 1,412 : x
  2. Step 2: Convert to fraction form
    2,459.94/3,394.76 = 1,412/x
  3. Step 3: Cross multiply
    2,459.94x = 3,394.76 × 1,412
  4. Step 4: Simplify right side
    2,459.94x = 4,793,401.12
  5. Step 5: Solve for x
    x = 4,793,401.12/2,459.94
  6. Step 6: Final answer
    x = 1,948.58

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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.