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Finding the Fourth Proportional to 3,002.96, 4,501.92 and 1,056.44

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Solution

The fourth proportional to 3,002.96, 4,501.92 and 1,056.44 is: 1,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.96 : 4,501.92 = 1,056.44 : x
  2. Step 2: Convert to fraction form
    3,002.96/4,501.92 = 1,056.44/x
  3. Step 3: Cross multiply
    3,002.96x = 4,501.92 × 1,056.44
  4. Step 4: Simplify right side
    3,002.96x = 4,756,008.36
  5. Step 5: Solve for x
    x = 4,756,008.36/3,002.96
  6. Step 6: Final answer
    x = 1,583.77

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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.