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Finding the Fourth Proportional to 1,315.74, 1,817.10 and 1,178.40

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Solution

The fourth proportional to 1,315.74, 1,817.10 and 1,178.40 is: 1,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.74 : 1,817.10 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    1,315.74/1,817.10 = 1,178.40/x
  3. Step 3: Cross multiply
    1,315.74x = 1,817.10 × 1,178.40
  4. Step 4: Simplify right side
    1,315.74x = 2,141,270.64
  5. Step 5: Solve for x
    x = 2,141,270.64/1,315.74
  6. Step 6: Final answer
    x = 1,627.43

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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.