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Finding the Fourth Proportional to 2,646.41, 3,653.57 and 1,652.20

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Solution

The fourth proportional to 2,646.41, 3,653.57 and 1,652.20 is: 2,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.41 : 3,653.57 = 1,652.20 : x
  2. Step 2: Convert to fraction form
    2,646.41/3,653.57 = 1,652.20/x
  3. Step 3: Cross multiply
    2,646.41x = 3,653.57 × 1,652.20
  4. Step 4: Simplify right side
    2,646.41x = 6,036,423.35
  5. Step 5: Solve for x
    x = 6,036,423.35/2,646.41
  6. Step 6: Final answer
    x = 2,280.99

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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.