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Finding the Fourth Proportional to 1,880.77, 2,816.29 and 1,297.57

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Solution

The fourth proportional to 1,880.77, 2,816.29 and 1,297.57 is: 1,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.77 : 2,816.29 = 1,297.57 : x
  2. Step 2: Convert to fraction form
    1,880.77/2,816.29 = 1,297.57/x
  3. Step 3: Cross multiply
    1,880.77x = 2,816.29 × 1,297.57
  4. Step 4: Simplify right side
    1,880.77x = 3,654,333.42
  5. Step 5: Solve for x
    x = 3,654,333.42/1,880.77
  6. Step 6: Final answer
    x = 1,943.00

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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.