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Finding the Fourth Proportional to 1,784.88, 2,677.68 and 552.24

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Solution

The fourth proportional to 1,784.88, 2,677.68 and 552.24 is: 828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.88 : 2,677.68 = 552.24 : x
  2. Step 2: Convert to fraction form
    1,784.88/2,677.68 = 552.24/x
  3. Step 3: Cross multiply
    1,784.88x = 2,677.68 × 552.24
  4. Step 4: Simplify right side
    1,784.88x = 1,478,722.00
  5. Step 5: Solve for x
    x = 1,478,722.00/1,784.88
  6. Step 6: Final answer
    x = 828.47

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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.