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Finding the Fourth Proportional to 1,662.64, 2,294.31 and 964.06

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Solution

The fourth proportional to 1,662.64, 2,294.31 and 964.06 is: 1,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.64 : 2,294.31 = 964.06 : x
  2. Step 2: Convert to fraction form
    1,662.64/2,294.31 = 964.06/x
  3. Step 3: Cross multiply
    1,662.64x = 2,294.31 × 964.06
  4. Step 4: Simplify right side
    1,662.64x = 2,211,852.50
  5. Step 5: Solve for x
    x = 2,211,852.50/1,662.64
  6. Step 6: Final answer
    x = 1,330.33

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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.