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Finding the Fourth Proportional to 1,154.55, 1,738.07 and 1,054.11

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Solution

The fourth proportional to 1,154.55, 1,738.07 and 1,054.11 is: 1,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.55 : 1,738.07 = 1,054.11 : x
  2. Step 2: Convert to fraction form
    1,154.55/1,738.07 = 1,054.11/x
  3. Step 3: Cross multiply
    1,154.55x = 1,738.07 × 1,054.11
  4. Step 4: Simplify right side
    1,154.55x = 1,832,116.97
  5. Step 5: Solve for x
    x = 1,832,116.97/1,154.55
  6. Step 6: Final answer
    x = 1,586.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.