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Finding the Fourth Proportional to 2,356.25, 3,252.50 and 2,023.34

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Solution

The fourth proportional to 2,356.25, 3,252.50 and 2,023.34 is: 2,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.25 : 3,252.50 = 2,023.34 : x
  2. Step 2: Convert to fraction form
    2,356.25/3,252.50 = 2,023.34/x
  3. Step 3: Cross multiply
    2,356.25x = 3,252.50 × 2,023.34
  4. Step 4: Simplify right side
    2,356.25x = 6,580,895.10
  5. Step 5: Solve for x
    x = 6,580,895.10/2,356.25
  6. Step 6: Final answer
    x = 2,792.96

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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.