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Finding the Fourth Proportional to 3,158.46, 4,358.46 and 1,742.06

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Solution

The fourth proportional to 3,158.46, 4,358.46 and 1,742.06 is: 2,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.46 : 4,358.46 = 1,742.06 : x
  2. Step 2: Convert to fraction form
    3,158.46/4,358.46 = 1,742.06/x
  3. Step 3: Cross multiply
    3,158.46x = 4,358.46 × 1,742.06
  4. Step 4: Simplify right side
    3,158.46x = 7,592,698.83
  5. Step 5: Solve for x
    x = 7,592,698.83/3,158.46
  6. Step 6: Final answer
    x = 2,403.92

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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.