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Finding the Fourth Proportional to 2,388.56, 3,582.50 and 983.48

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Solution

The fourth proportional to 2,388.56, 3,582.50 and 983.48 is: 1,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.56 : 3,582.50 = 983.48 : x
  2. Step 2: Convert to fraction form
    2,388.56/3,582.50 = 983.48/x
  3. Step 3: Cross multiply
    2,388.56x = 3,582.50 × 983.48
  4. Step 4: Simplify right side
    2,388.56x = 3,523,317.10
  5. Step 5: Solve for x
    x = 3,523,317.10/2,388.56
  6. Step 6: Final answer
    x = 1,475.08

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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.