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Finding the Fourth Proportional to 2,695.35, 4,036.53 and 1,827.03

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Solution

The fourth proportional to 2,695.35, 4,036.53 and 1,827.03 is: 2,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.35 : 4,036.53 = 1,827.03 : x
  2. Step 2: Convert to fraction form
    2,695.35/4,036.53 = 1,827.03/x
  3. Step 3: Cross multiply
    2,695.35x = 4,036.53 × 1,827.03
  4. Step 4: Simplify right side
    2,695.35x = 7,374,861.41
  5. Step 5: Solve for x
    x = 7,374,861.41/2,695.35
  6. Step 6: Final answer
    x = 2,736.14

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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.