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Finding the Fourth Proportional to 2,388.02, 3,580.88 and 744.74

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Solution

The fourth proportional to 2,388.02, 3,580.88 and 744.74 is: 1,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.02 : 3,580.88 = 744.74 : x
  2. Step 2: Convert to fraction form
    2,388.02/3,580.88 = 744.74/x
  3. Step 3: Cross multiply
    2,388.02x = 3,580.88 × 744.74
  4. Step 4: Simplify right side
    2,388.02x = 2,666,824.57
  5. Step 5: Solve for x
    x = 2,666,824.57/2,388.02
  6. Step 6: Final answer
    x = 1,116.75

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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.