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Finding the Fourth Proportional to 2,495.64, 3,734.58 and 2,421.72

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Solution

The fourth proportional to 2,495.64, 3,734.58 and 2,421.72 is: 3,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.64 : 3,734.58 = 2,421.72 : x
  2. Step 2: Convert to fraction form
    2,495.64/3,734.58 = 2,421.72/x
  3. Step 3: Cross multiply
    2,495.64x = 3,734.58 × 2,421.72
  4. Step 4: Simplify right side
    2,495.64x = 9,044,107.08
  5. Step 5: Solve for x
    x = 9,044,107.08/2,495.64
  6. Step 6: Final answer
    x = 3,623.96

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Why These Related Problems?

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