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Finding the Fourth Proportional to 2,931.36, 4,396.58 and 983.58

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Solution

The fourth proportional to 2,931.36, 4,396.58 and 983.58 is: 1,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.36 : 4,396.58 = 983.58 : x
  2. Step 2: Convert to fraction form
    2,931.36/4,396.58 = 983.58/x
  3. Step 3: Cross multiply
    2,931.36x = 4,396.58 × 983.58
  4. Step 4: Simplify right side
    2,931.36x = 4,324,388.16
  5. Step 5: Solve for x
    x = 4,324,388.16/2,931.36
  6. Step 6: Final answer
    x = 1,475.22

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1.5x scale

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.