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Finding the Fourth Proportional to 3,031.58, 4,185.65 and 2,235

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Solution

The fourth proportional to 3,031.58, 4,185.65 and 2,235 is: 3,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.58 : 4,185.65 = 2,235 : x
  2. Step 2: Convert to fraction form
    3,031.58/4,185.65 = 2,235/x
  3. Step 3: Cross multiply
    3,031.58x = 4,185.65 × 2,235
  4. Step 4: Simplify right side
    3,031.58x = 9,354,927.75
  5. Step 5: Solve for x
    x = 9,354,927.75/3,031.58
  6. Step 6: Final answer
    x = 3,085.83

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