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Finding the Fourth Proportional to 3,014.63, 4,520.32 and 933.74

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Solution

The fourth proportional to 3,014.63, 4,520.32 and 933.74 is: 1,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.63 : 4,520.32 = 933.74 : x
  2. Step 2: Convert to fraction form
    3,014.63/4,520.32 = 933.74/x
  3. Step 3: Cross multiply
    3,014.63x = 4,520.32 × 933.74
  4. Step 4: Simplify right side
    3,014.63x = 4,220,803.60
  5. Step 5: Solve for x
    x = 4,220,803.60/3,014.63
  6. Step 6: Final answer
    x = 1,400.11

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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.