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Finding the Fourth Proportional to 2,256.19, 3,384.02 and 590.47

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Solution

The fourth proportional to 2,256.19, 3,384.02 and 590.47 is: 885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.19 : 3,384.02 = 590.47 : x
  2. Step 2: Convert to fraction form
    2,256.19/3,384.02 = 590.47/x
  3. Step 3: Cross multiply
    2,256.19x = 3,384.02 × 590.47
  4. Step 4: Simplify right side
    2,256.19x = 1,998,167.33
  5. Step 5: Solve for x
    x = 1,998,167.33/2,256.19
  6. Step 6: Final answer
    x = 885.64

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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.