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Finding the Fourth Proportional to 1,534.82, 2,118.01 and 836.18

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Solution

The fourth proportional to 1,534.82, 2,118.01 and 836.18 is: 1,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.82 : 2,118.01 = 836.18 : x
  2. Step 2: Convert to fraction form
    1,534.82/2,118.01 = 836.18/x
  3. Step 3: Cross multiply
    1,534.82x = 2,118.01 × 836.18
  4. Step 4: Simplify right side
    1,534.82x = 1,771,037.60
  5. Step 5: Solve for x
    x = 1,771,037.60/1,534.82
  6. Step 6: Final answer
    x = 1,153.91

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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.