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Finding the Fourth Proportional to 1,888.68, 2,833.02 and 590.26

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Solution

The fourth proportional to 1,888.68, 2,833.02 and 590.26 is: 885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.68 : 2,833.02 = 590.26 : x
  2. Step 2: Convert to fraction form
    1,888.68/2,833.02 = 590.26/x
  3. Step 3: Cross multiply
    1,888.68x = 2,833.02 × 590.26
  4. Step 4: Simplify right side
    1,888.68x = 1,672,218.39
  5. Step 5: Solve for x
    x = 1,672,218.39/1,888.68
  6. Step 6: Final answer
    x = 885.39

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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.