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Finding the Fourth Proportional to 3,069.46, 4,602.51 and 1,337.14

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Solution

The fourth proportional to 3,069.46, 4,602.51 and 1,337.14 is: 2,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.46 : 4,602.51 = 1,337.14 : x
  2. Step 2: Convert to fraction form
    3,069.46/4,602.51 = 1,337.14/x
  3. Step 3: Cross multiply
    3,069.46x = 4,602.51 × 1,337.14
  4. Step 4: Simplify right side
    3,069.46x = 6,154,200.22
  5. Step 5: Solve for x
    x = 6,154,200.22/3,069.46
  6. Step 6: Final answer
    x = 2,004.98

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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.