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Finding the Fourth Proportional to 3,014.58, 4,524.64 and 1,534.83

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Solution

The fourth proportional to 3,014.58, 4,524.64 and 1,534.83 is: 2,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.58 : 4,524.64 = 1,534.83 : x
  2. Step 2: Convert to fraction form
    3,014.58/4,524.64 = 1,534.83/x
  3. Step 3: Cross multiply
    3,014.58x = 4,524.64 × 1,534.83
  4. Step 4: Simplify right side
    3,014.58x = 6,944,549.37
  5. Step 5: Solve for x
    x = 6,944,549.37/3,014.58
  6. Step 6: Final answer
    x = 2,303.65

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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.