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Finding the Fourth Proportional to 1,456.50, 2,009.97 and 835.70

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Solution

The fourth proportional to 1,456.50, 2,009.97 and 835.70 is: 1,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.50 : 2,009.97 = 835.70 : x
  2. Step 2: Convert to fraction form
    1,456.50/2,009.97 = 835.70/x
  3. Step 3: Cross multiply
    1,456.50x = 2,009.97 × 835.70
  4. Step 4: Simplify right side
    1,456.50x = 1,679,731.93
  5. Step 5: Solve for x
    x = 1,679,731.93/1,456.50
  6. Step 6: Final answer
    x = 1,153.27

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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.