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Finding the Fourth Proportional to 1,376, 1,894.98 and 1,252.96

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Solution

The fourth proportional to 1,376, 1,894.98 and 1,252.96 is: 1,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376 : 1,894.98 = 1,252.96 : x
  2. Step 2: Convert to fraction form
    1,376/1,894.98 = 1,252.96/x
  3. Step 3: Cross multiply
    1,376x = 1,894.98 × 1,252.96
  4. Step 4: Simplify right side
    1,376x = 2,374,334.14
  5. Step 5: Solve for x
    x = 2,374,334.14/1,376
  6. Step 6: Final answer
    x = 1,725.53

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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.