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Finding the Fourth Proportional to 2,704.64, 3,732.16 and 1,585.40

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Solution

The fourth proportional to 2,704.64, 3,732.16 and 1,585.40 is: 2,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.64 : 3,732.16 = 1,585.40 : x
  2. Step 2: Convert to fraction form
    2,704.64/3,732.16 = 1,585.40/x
  3. Step 3: Cross multiply
    2,704.64x = 3,732.16 × 1,585.40
  4. Step 4: Simplify right side
    2,704.64x = 5,916,966.46
  5. Step 5: Solve for x
    x = 5,916,966.46/2,704.64
  6. Step 6: Final answer
    x = 2,187.71

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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.