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Finding the Fourth Proportional to 2,153.85, 2,972.89 and 2,023.16

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Solution

The fourth proportional to 2,153.85, 2,972.89 and 2,023.16 is: 2,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.85 : 2,972.89 = 2,023.16 : x
  2. Step 2: Convert to fraction form
    2,153.85/2,972.89 = 2,023.16/x
  3. Step 3: Cross multiply
    2,153.85x = 2,972.89 × 2,023.16
  4. Step 4: Simplify right side
    2,153.85x = 6,014,622.02
  5. Step 5: Solve for x
    x = 6,014,622.02/2,153.85
  6. Step 6: Final answer
    x = 2,792.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.