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Finding the Fourth Proportional to 1,862.69, 2,792.41 and 709.25

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Solution

The fourth proportional to 1,862.69, 2,792.41 and 709.25 is: 1,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.69 : 2,792.41 = 709.25 : x
  2. Step 2: Convert to fraction form
    1,862.69/2,792.41 = 709.25/x
  3. Step 3: Cross multiply
    1,862.69x = 2,792.41 × 709.25
  4. Step 4: Simplify right side
    1,862.69x = 1,980,501.06
  5. Step 5: Solve for x
    x = 1,980,501.06/1,862.69
  6. Step 6: Final answer
    x = 1,063.25

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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.