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Finding the Fourth Proportional to 1,827, 2,740.64 and 594.32

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Solution

The fourth proportional to 1,827, 2,740.64 and 594.32 is: 891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827 : 2,740.64 = 594.32 : x
  2. Step 2: Convert to fraction form
    1,827/2,740.64 = 594.32/x
  3. Step 3: Cross multiply
    1,827x = 2,740.64 × 594.32
  4. Step 4: Simplify right side
    1,827x = 1,628,800.49
  5. Step 5: Solve for x
    x = 1,628,800.49/1,827
  6. Step 6: Final answer
    x = 891.52

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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.