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Finding the Fourth Proportional to 3,145.92, 4,718.72 and 1,415.68

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Solution

The fourth proportional to 3,145.92, 4,718.72 and 1,415.68 is: 2,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.92 : 4,718.72 = 1,415.68 : x
  2. Step 2: Convert to fraction form
    3,145.92/4,718.72 = 1,415.68/x
  3. Step 3: Cross multiply
    3,145.92x = 4,718.72 × 1,415.68
  4. Step 4: Simplify right side
    3,145.92x = 6,680,197.53
  5. Step 5: Solve for x
    x = 6,680,197.53/3,145.92
  6. Step 6: Final answer
    x = 2,123.45

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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.