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Finding the Fourth Proportional to 1,534.88, 2,118.13 and 836.25

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Solution

The fourth proportional to 1,534.88, 2,118.13 and 836.25 is: 1,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.88 : 2,118.13 = 836.25 : x
  2. Step 2: Convert to fraction form
    1,534.88/2,118.13 = 836.25/x
  3. Step 3: Cross multiply
    1,534.88x = 2,118.13 × 836.25
  4. Step 4: Simplify right side
    1,534.88x = 1,771,286.21
  5. Step 5: Solve for x
    x = 1,771,286.21/1,534.88
  6. Step 6: Final answer
    x = 1,154.03

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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.