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Finding the Fourth Proportional to 3,063.86, 4,594.70 and 1,420.10

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Solution

The fourth proportional to 3,063.86, 4,594.70 and 1,420.10 is: 2,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.86 : 4,594.70 = 1,420.10 : x
  2. Step 2: Convert to fraction form
    3,063.86/4,594.70 = 1,420.10/x
  3. Step 3: Cross multiply
    3,063.86x = 4,594.70 × 1,420.10
  4. Step 4: Simplify right side
    3,063.86x = 6,524,933.47
  5. Step 5: Solve for x
    x = 6,524,933.47/3,063.86
  6. Step 6: Final answer
    x = 2,129.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.