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Finding the Fourth Proportional to 2,888.55, 3,988.76 and 1,828.26

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Solution

The fourth proportional to 2,888.55, 3,988.76 and 1,828.26 is: 2,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.55 : 3,988.76 = 1,828.26 : x
  2. Step 2: Convert to fraction form
    2,888.55/3,988.76 = 1,828.26/x
  3. Step 3: Cross multiply
    2,888.55x = 3,988.76 × 1,828.26
  4. Step 4: Simplify right side
    2,888.55x = 7,292,481.22
  5. Step 5: Solve for x
    x = 7,292,481.22/2,888.55
  6. Step 6: Final answer
    x = 2,524.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.