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Finding the Fourth Proportional to 2,477.72, 3,419.20 and 1,358.65

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Solution

The fourth proportional to 2,477.72, 3,419.20 and 1,358.65 is: 1,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.72 : 3,419.20 = 1,358.65 : x
  2. Step 2: Convert to fraction form
    2,477.72/3,419.20 = 1,358.65/x
  3. Step 3: Cross multiply
    2,477.72x = 3,419.20 × 1,358.65
  4. Step 4: Simplify right side
    2,477.72x = 4,645,496.08
  5. Step 5: Solve for x
    x = 4,645,496.08/2,477.72
  6. Step 6: Final answer
    x = 1,874.91

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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.