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Finding the Fourth Proportional to 2,298.08, 3,445.09 and 836.95

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Solution

The fourth proportional to 2,298.08, 3,445.09 and 836.95 is: 1,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.08 : 3,445.09 = 836.95 : x
  2. Step 2: Convert to fraction form
    2,298.08/3,445.09 = 836.95/x
  3. Step 3: Cross multiply
    2,298.08x = 3,445.09 × 836.95
  4. Step 4: Simplify right side
    2,298.08x = 2,883,368.08
  5. Step 5: Solve for x
    x = 2,883,368.08/2,298.08
  6. Step 6: Final answer
    x = 1,254.69

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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.