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Finding the Fourth Proportional to 1,712.02, 2,362.41 and 966.02

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Solution

The fourth proportional to 1,712.02, 2,362.41 and 966.02 is: 1,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.02 : 2,362.41 = 966.02 : x
  2. Step 2: Convert to fraction form
    1,712.02/2,362.41 = 966.02/x
  3. Step 3: Cross multiply
    1,712.02x = 2,362.41 × 966.02
  4. Step 4: Simplify right side
    1,712.02x = 2,282,135.31
  5. Step 5: Solve for x
    x = 2,282,135.31/1,712.02
  6. Step 6: Final answer
    x = 1,333.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.