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Finding the Fourth Proportional to 1,451.06, 2,176.59 and 835.70

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Solution

The fourth proportional to 1,451.06, 2,176.59 and 835.70 is: 1,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.06 : 2,176.59 = 835.70 : x
  2. Step 2: Convert to fraction form
    1,451.06/2,176.59 = 835.70/x
  3. Step 3: Cross multiply
    1,451.06x = 2,176.59 × 835.70
  4. Step 4: Simplify right side
    1,451.06x = 1,818,976.26
  5. Step 5: Solve for x
    x = 1,818,976.26/1,451.06
  6. Step 6: Final answer
    x = 1,253.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.