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Finding the Fourth Proportional to 2,445.81, 3,665.51 and 983.26

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Solution

The fourth proportional to 2,445.81, 3,665.51 and 983.26 is: 1,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.81 : 3,665.51 = 983.26 : x
  2. Step 2: Convert to fraction form
    2,445.81/3,665.51 = 983.26/x
  3. Step 3: Cross multiply
    2,445.81x = 3,665.51 × 983.26
  4. Step 4: Simplify right side
    2,445.81x = 3,604,149.36
  5. Step 5: Solve for x
    x = 3,604,149.36/2,445.81
  6. Step 6: Final answer
    x = 1,473.60

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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.