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Finding the Fourth Proportional to 2,389.44, 3,584.16 and 1,002.45

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Solution

The fourth proportional to 2,389.44, 3,584.16 and 1,002.45 is: 1,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.44 : 3,584.16 = 1,002.45 : x
  2. Step 2: Convert to fraction form
    2,389.44/3,584.16 = 1,002.45/x
  3. Step 3: Cross multiply
    2,389.44x = 3,584.16 × 1,002.45
  4. Step 4: Simplify right side
    2,389.44x = 3,592,941.19
  5. Step 5: Solve for x
    x = 3,592,941.19/2,389.44
  6. Step 6: Final answer
    x = 1,503.68

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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.