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Finding the Fourth Proportional to 2,966.00, 4,093.38 and 2,547.74

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Solution

The fourth proportional to 2,966.00, 4,093.38 and 2,547.74 is: 3,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.00 : 4,093.38 = 2,547.74 : x
  2. Step 2: Convert to fraction form
    2,966.00/4,093.38 = 2,547.74/x
  3. Step 3: Cross multiply
    2,966.00x = 4,093.38 × 2,547.74
  4. Step 4: Simplify right side
    2,966.00x = 10,428,847.49
  5. Step 5: Solve for x
    x = 10,428,847.49/2,966.00
  6. Step 6: Final answer
    x = 3,516.14

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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.