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Finding the Fourth Proportional to 2,388.76, 3,580.54 and 1,002.84

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Solution

The fourth proportional to 2,388.76, 3,580.54 and 1,002.84 is: 1,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.76 : 3,580.54 = 1,002.84 : x
  2. Step 2: Convert to fraction form
    2,388.76/3,580.54 = 1,002.84/x
  3. Step 3: Cross multiply
    2,388.76x = 3,580.54 × 1,002.84
  4. Step 4: Simplify right side
    2,388.76x = 3,590,708.73
  5. Step 5: Solve for x
    x = 3,590,708.73/2,388.76
  6. Step 6: Final answer
    x = 1,503.17

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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.