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Finding the Fourth Proportional to 1,431.84, 1,972.77 and 1,300.80

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Solution

The fourth proportional to 1,431.84, 1,972.77 and 1,300.80 is: 1,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.84 : 1,972.77 = 1,300.80 : x
  2. Step 2: Convert to fraction form
    1,431.84/1,972.77 = 1,300.80/x
  3. Step 3: Cross multiply
    1,431.84x = 1,972.77 × 1,300.80
  4. Step 4: Simplify right side
    1,431.84x = 2,566,179.22
  5. Step 5: Solve for x
    x = 2,566,179.22/1,431.84
  6. Step 6: Final answer
    x = 1,792.22

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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.