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Finding the Fourth Proportional to 3,106.68, 4,656.02 and 1,459.58

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Solution

The fourth proportional to 3,106.68, 4,656.02 and 1,459.58 is: 2,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.68 : 4,656.02 = 1,459.58 : x
  2. Step 2: Convert to fraction form
    3,106.68/4,656.02 = 1,459.58/x
  3. Step 3: Cross multiply
    3,106.68x = 4,656.02 × 1,459.58
  4. Step 4: Simplify right side
    3,106.68x = 6,795,833.67
  5. Step 5: Solve for x
    x = 6,795,833.67/3,106.68
  6. Step 6: Final answer
    x = 2,187.49

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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.