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Finding the Fourth Proportional to 2,073.08, 3,111.86 and 841.32

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Solution

The fourth proportional to 2,073.08, 3,111.86 and 841.32 is: 1,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.08 : 3,111.86 = 841.32 : x
  2. Step 2: Convert to fraction form
    2,073.08/3,111.86 = 841.32/x
  3. Step 3: Cross multiply
    2,073.08x = 3,111.86 × 841.32
  4. Step 4: Simplify right side
    2,073.08x = 2,618,070.06
  5. Step 5: Solve for x
    x = 2,618,070.06/2,073.08
  6. Step 6: Final answer
    x = 1,262.89

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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.