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Finding the Fourth Proportional to 2,416.50, 3,335.04 and 1,485

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Solution

The fourth proportional to 2,416.50, 3,335.04 and 1,485 is: 2,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.50 : 3,335.04 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,416.50/3,335.04 = 1,485/x
  3. Step 3: Cross multiply
    2,416.50x = 3,335.04 × 1,485
  4. Step 4: Simplify right side
    2,416.50x = 4,952,534.40
  5. Step 5: Solve for x
    x = 4,952,534.40/2,416.50
  6. Step 6: Final answer
    x = 2,049.47

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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.