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Finding the Fourth Proportional to 1,456.69, 2,010.29 and 835.81

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Solution

The fourth proportional to 1,456.69, 2,010.29 and 835.81 is: 1,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.69 : 2,010.29 = 835.81 : x
  2. Step 2: Convert to fraction form
    1,456.69/2,010.29 = 835.81/x
  3. Step 3: Cross multiply
    1,456.69x = 2,010.29 × 835.81
  4. Step 4: Simplify right side
    1,456.69x = 1,680,220.48
  5. Step 5: Solve for x
    x = 1,680,220.48/1,456.69
  6. Step 6: Final answer
    x = 1,153.45

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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.