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Finding the Fourth Proportional to 1,822.19, 2,733.04 and 589.47

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Solution

The fourth proportional to 1,822.19, 2,733.04 and 589.47 is: 884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.19 : 2,733.04 = 589.47 : x
  2. Step 2: Convert to fraction form
    1,822.19/2,733.04 = 589.47/x
  3. Step 3: Cross multiply
    1,822.19x = 2,733.04 × 589.47
  4. Step 4: Simplify right side
    1,822.19x = 1,611,045.09
  5. Step 5: Solve for x
    x = 1,611,045.09/1,822.19
  6. Step 6: Final answer
    x = 884.13

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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.