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Finding the Fourth Proportional to 2,298.51, 3,445.88 and 2,169.72

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Solution

The fourth proportional to 2,298.51, 3,445.88 and 2,169.72 is: 3,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.51 : 3,445.88 = 2,169.72 : x
  2. Step 2: Convert to fraction form
    2,298.51/3,445.88 = 2,169.72/x
  3. Step 3: Cross multiply
    2,298.51x = 3,445.88 × 2,169.72
  4. Step 4: Simplify right side
    2,298.51x = 7,476,583.91
  5. Step 5: Solve for x
    x = 7,476,583.91/2,298.51
  6. Step 6: Final answer
    x = 3,252.80

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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.