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Finding the Fourth Proportional to 1,376.10, 1,898.69 and 934.43

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Solution

The fourth proportional to 1,376.10, 1,898.69 and 934.43 is: 1,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.10 : 1,898.69 = 934.43 : x
  2. Step 2: Convert to fraction form
    1,376.10/1,898.69 = 934.43/x
  3. Step 3: Cross multiply
    1,376.10x = 1,898.69 × 934.43
  4. Step 4: Simplify right side
    1,376.10x = 1,774,178.73
  5. Step 5: Solve for x
    x = 1,774,178.73/1,376.10
  6. Step 6: Final answer
    x = 1,289.28

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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.