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Finding the Fourth Proportional to 2,646.23, 3,653.03 and 1,652.96

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Solution

The fourth proportional to 2,646.23, 3,653.03 and 1,652.96 is: 2,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.23 : 3,653.03 = 1,652.96 : x
  2. Step 2: Convert to fraction form
    2,646.23/3,653.03 = 1,652.96/x
  3. Step 3: Cross multiply
    2,646.23x = 3,653.03 × 1,652.96
  4. Step 4: Simplify right side
    2,646.23x = 6,038,325.73
  5. Step 5: Solve for x
    x = 6,038,325.73/2,646.23
  6. Step 6: Final answer
    x = 2,281.86

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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.