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Finding the Fourth Proportional to 1,664.88, 2,498.76 and 1,482

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Solution

The fourth proportional to 1,664.88, 2,498.76 and 1,482 is: 2,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.88 : 2,498.76 = 1,482 : x
  2. Step 2: Convert to fraction form
    1,664.88/2,498.76 = 1,482/x
  3. Step 3: Cross multiply
    1,664.88x = 2,498.76 × 1,482
  4. Step 4: Simplify right side
    1,664.88x = 3,703,162.32
  5. Step 5: Solve for x
    x = 3,703,162.32/1,664.88
  6. Step 6: Final answer
    x = 2,224.28

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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.