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Finding the Fourth Proportional to 2,298.29, 3,444.35 and 836.06

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Solution

The fourth proportional to 2,298.29, 3,444.35 and 836.06 is: 1,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.29 : 3,444.35 = 836.06 : x
  2. Step 2: Convert to fraction form
    2,298.29/3,444.35 = 836.06/x
  3. Step 3: Cross multiply
    2,298.29x = 3,444.35 × 836.06
  4. Step 4: Simplify right side
    2,298.29x = 2,879,668.13
  5. Step 5: Solve for x
    x = 2,879,668.13/2,298.29
  6. Step 6: Final answer
    x = 1,252.96

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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.