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Finding the Fourth Proportional to 2,384.49, 3,576.75 and 653.13

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Solution

The fourth proportional to 2,384.49, 3,576.75 and 653.13 is: 979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.49 : 3,576.75 = 653.13 : x
  2. Step 2: Convert to fraction form
    2,384.49/3,576.75 = 653.13/x
  3. Step 3: Cross multiply
    2,384.49x = 3,576.75 × 653.13
  4. Step 4: Simplify right side
    2,384.49x = 2,336,082.73
  5. Step 5: Solve for x
    x = 2,336,082.73/2,384.49
  6. Step 6: Final answer
    x = 979.70

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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.