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Finding the Fourth Proportional to 2,104.58, 3,152.01 and 2,031.68

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Solution

The fourth proportional to 2,104.58, 3,152.01 and 2,031.68 is: 3,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.58 : 3,152.01 = 2,031.68 : x
  2. Step 2: Convert to fraction form
    2,104.58/3,152.01 = 2,031.68/x
  3. Step 3: Cross multiply
    2,104.58x = 3,152.01 × 2,031.68
  4. Step 4: Simplify right side
    2,104.58x = 6,403,875.68
  5. Step 5: Solve for x
    x = 6,403,875.68/2,104.58
  6. Step 6: Final answer
    x = 3,042.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.