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Finding the Fourth Proportional to 1,823.21, 2,735.18 and 590.93

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Solution

The fourth proportional to 1,823.21, 2,735.18 and 590.93 is: 886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.21 : 2,735.18 = 590.93 : x
  2. Step 2: Convert to fraction form
    1,823.21/2,735.18 = 590.93/x
  3. Step 3: Cross multiply
    1,823.21x = 2,735.18 × 590.93
  4. Step 4: Simplify right side
    1,823.21x = 1,616,299.92
  5. Step 5: Solve for x
    x = 1,616,299.92/1,823.21
  6. Step 6: Final answer
    x = 886.51

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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.