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Finding the Fourth Proportional to 1,664.85, 2,297.42 and 956.21

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Solution

The fourth proportional to 1,664.85, 2,297.42 and 956.21 is: 1,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.85 : 2,297.42 = 956.21 : x
  2. Step 2: Convert to fraction form
    1,664.85/2,297.42 = 956.21/x
  3. Step 3: Cross multiply
    1,664.85x = 2,297.42 × 956.21
  4. Step 4: Simplify right side
    1,664.85x = 2,196,799.71
  5. Step 5: Solve for x
    x = 2,196,799.71/1,664.85
  6. Step 6: Final answer
    x = 1,319.52

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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.