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Finding the Fourth Proportional to 1,665.76, 2,298.62 and 967

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Solution

The fourth proportional to 1,665.76, 2,298.62 and 967 is: 1,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.76 : 2,298.62 = 967 : x
  2. Step 2: Convert to fraction form
    1,665.76/2,298.62 = 967/x
  3. Step 3: Cross multiply
    1,665.76x = 2,298.62 × 967
  4. Step 4: Simplify right side
    1,665.76x = 2,222,765.54
  5. Step 5: Solve for x
    x = 2,222,765.54/1,665.76
  6. Step 6: Final answer
    x = 1,334.39

Related Problems

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1.5x scale

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.