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Finding the Fourth Proportional to 2,394, 3,303.90 and 1,462.68

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Solution

The fourth proportional to 2,394, 3,303.90 and 1,462.68 is: 2,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394 : 3,303.90 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    2,394/3,303.90 = 1,462.68/x
  3. Step 3: Cross multiply
    2,394x = 3,303.90 × 1,462.68
  4. Step 4: Simplify right side
    2,394x = 4,832,548.45
  5. Step 5: Solve for x
    x = 4,832,548.45/2,394
  6. Step 6: Final answer
    x = 2,018.61

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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.