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Finding the Fourth Proportional to 2,459.92, 3,686.04 and 1,546

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Solution

The fourth proportional to 2,459.92, 3,686.04 and 1,546 is: 2,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.92 : 3,686.04 = 1,546 : x
  2. Step 2: Convert to fraction form
    2,459.92/3,686.04 = 1,546/x
  3. Step 3: Cross multiply
    2,459.92x = 3,686.04 × 1,546
  4. Step 4: Simplify right side
    2,459.92x = 5,698,617.84
  5. Step 5: Solve for x
    x = 5,698,617.84/2,459.92
  6. Step 6: Final answer
    x = 2,316.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.