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Finding the Fourth Proportional to 1,534.53, 2,117.66 and 835.95

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Solution

The fourth proportional to 1,534.53, 2,117.66 and 835.95 is: 1,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.53 : 2,117.66 = 835.95 : x
  2. Step 2: Convert to fraction form
    1,534.53/2,117.66 = 835.95/x
  3. Step 3: Cross multiply
    1,534.53x = 2,117.66 × 835.95
  4. Step 4: Simplify right side
    1,534.53x = 1,770,253.70
  5. Step 5: Solve for x
    x = 1,770,253.70/1,534.53
  6. Step 6: Final answer
    x = 1,153.61

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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.