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Finding the Fourth Proportional to 2,376.64, 3,565.38 and 816.24

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Solution

The fourth proportional to 2,376.64, 3,565.38 and 816.24 is: 1,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.64 : 3,565.38 = 816.24 : x
  2. Step 2: Convert to fraction form
    2,376.64/3,565.38 = 816.24/x
  3. Step 3: Cross multiply
    2,376.64x = 3,565.38 × 816.24
  4. Step 4: Simplify right side
    2,376.64x = 2,910,195.46
  5. Step 5: Solve for x
    x = 2,910,195.46/2,376.64
  6. Step 6: Final answer
    x = 1,224.50

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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.