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Finding the Fourth Proportional to 2,784.07, 4,176.14 and 732.07

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Solution

The fourth proportional to 2,784.07, 4,176.14 and 732.07 is: 1,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.07 : 4,176.14 = 732.07 : x
  2. Step 2: Convert to fraction form
    2,784.07/4,176.14 = 732.07/x
  3. Step 3: Cross multiply
    2,784.07x = 4,176.14 × 732.07
  4. Step 4: Simplify right side
    2,784.07x = 3,057,226.81
  5. Step 5: Solve for x
    x = 3,057,226.81/2,784.07
  6. Step 6: Final answer
    x = 1,098.11

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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.