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Finding the Fourth Proportional to 2,394.12, 3,302.46 and 1,461

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Solution

The fourth proportional to 2,394.12, 3,302.46 and 1,461 is: 2,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.12 : 3,302.46 = 1,461 : x
  2. Step 2: Convert to fraction form
    2,394.12/3,302.46 = 1,461/x
  3. Step 3: Cross multiply
    2,394.12x = 3,302.46 × 1,461
  4. Step 4: Simplify right side
    2,394.12x = 4,824,894.06
  5. Step 5: Solve for x
    x = 4,824,894.06/2,394.12
  6. Step 6: Final answer
    x = 2,015.31

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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.