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Finding the Fourth Proportional to 1,880.65, 2,816.42 and 953.77

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Solution

The fourth proportional to 1,880.65, 2,816.42 and 953.77 is: 1,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.65 : 2,816.42 = 953.77 : x
  2. Step 2: Convert to fraction form
    1,880.65/2,816.42 = 953.77/x
  3. Step 3: Cross multiply
    1,880.65x = 2,816.42 × 953.77
  4. Step 4: Simplify right side
    1,880.65x = 2,686,212.13
  5. Step 5: Solve for x
    x = 2,686,212.13/1,880.65
  6. Step 6: Final answer
    x = 1,428.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.