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Finding the Fourth Proportional to 1,534.80, 2,117.92 and 836.16

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Solution

The fourth proportional to 1,534.80, 2,117.92 and 836.16 is: 1,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.80 : 2,117.92 = 836.16 : x
  2. Step 2: Convert to fraction form
    1,534.80/2,117.92 = 836.16/x
  3. Step 3: Cross multiply
    1,534.80x = 2,117.92 × 836.16
  4. Step 4: Simplify right side
    1,534.80x = 1,770,919.99
  5. Step 5: Solve for x
    x = 1,770,919.99/1,534.80
  6. Step 6: Final answer
    x = 1,153.84

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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.