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Finding the Fourth Proportional to 2,638.55, 3,642.65 and 1,800.50

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Solution

The fourth proportional to 2,638.55, 3,642.65 and 1,800.50 is: 2,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.55 : 3,642.65 = 1,800.50 : x
  2. Step 2: Convert to fraction form
    2,638.55/3,642.65 = 1,800.50/x
  3. Step 3: Cross multiply
    2,638.55x = 3,642.65 × 1,800.50
  4. Step 4: Simplify right side
    2,638.55x = 6,558,577.61
  5. Step 5: Solve for x
    x = 6,558,577.61/2,638.55
  6. Step 6: Final answer
    x = 2,485.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.