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Finding the Fourth Proportional to 3,145.03, 4,717.54 and 1,411.63

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Solution

The fourth proportional to 3,145.03, 4,717.54 and 1,411.63 is: 2,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.03 : 4,717.54 = 1,411.63 : x
  2. Step 2: Convert to fraction form
    3,145.03/4,717.54 = 1,411.63/x
  3. Step 3: Cross multiply
    3,145.03x = 4,717.54 × 1,411.63
  4. Step 4: Simplify right side
    3,145.03x = 6,659,410.96
  5. Step 5: Solve for x
    x = 6,659,410.96/3,145.03
  6. Step 6: Final answer
    x = 2,117.44

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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.