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Finding the Fourth Proportional to 2,526.57, 3,783.04 and 1,646.44

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Solution

The fourth proportional to 2,526.57, 3,783.04 and 1,646.44 is: 2,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.57 : 3,783.04 = 1,646.44 : x
  2. Step 2: Convert to fraction form
    2,526.57/3,783.04 = 1,646.44/x
  3. Step 3: Cross multiply
    2,526.57x = 3,783.04 × 1,646.44
  4. Step 4: Simplify right side
    2,526.57x = 6,228,534.80
  5. Step 5: Solve for x
    x = 6,228,534.80/2,526.57
  6. Step 6: Final answer
    x = 2,465.21

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