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Finding the Fourth Proportional to 1,154.68, 1,738.26 and 1,054.24

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Solution

The fourth proportional to 1,154.68, 1,738.26 and 1,054.24 is: 1,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.68 : 1,738.26 = 1,054.24 : x
  2. Step 2: Convert to fraction form
    1,154.68/1,738.26 = 1,054.24/x
  3. Step 3: Cross multiply
    1,154.68x = 1,738.26 × 1,054.24
  4. Step 4: Simplify right side
    1,154.68x = 1,832,538.88
  5. Step 5: Solve for x
    x = 1,832,538.88/1,154.68
  6. Step 6: Final answer
    x = 1,587.06

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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.