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Finding the Fourth Proportional to 2,977.11, 4,465.71 and 786.06

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Solution

The fourth proportional to 2,977.11, 4,465.71 and 786.06 is: 1,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.11 : 4,465.71 = 786.06 : x
  2. Step 2: Convert to fraction form
    2,977.11/4,465.71 = 786.06/x
  3. Step 3: Cross multiply
    2,977.11x = 4,465.71 × 786.06
  4. Step 4: Simplify right side
    2,977.11x = 3,510,316.00
  5. Step 5: Solve for x
    x = 3,510,316.00/2,977.11
  6. Step 6: Final answer
    x = 1,179.10

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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.