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Finding the Fourth Proportional to 2,384.46, 3,574.14 and 903.03

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Solution

The fourth proportional to 2,384.46, 3,574.14 and 903.03 is: 1,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.46 : 3,574.14 = 903.03 : x
  2. Step 2: Convert to fraction form
    2,384.46/3,574.14 = 903.03/x
  3. Step 3: Cross multiply
    2,384.46x = 3,574.14 × 903.03
  4. Step 4: Simplify right side
    2,384.46x = 3,227,555.64
  5. Step 5: Solve for x
    x = 3,227,555.64/2,384.46
  6. Step 6: Final answer
    x = 1,353.58

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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.