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Finding the Fourth Proportional to 3,135.36, 4,703.52 and 944.80

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Solution

The fourth proportional to 3,135.36, 4,703.52 and 944.80 is: 1,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.36 : 4,703.52 = 944.80 : x
  2. Step 2: Convert to fraction form
    3,135.36/4,703.52 = 944.80/x
  3. Step 3: Cross multiply
    3,135.36x = 4,703.52 × 944.80
  4. Step 4: Simplify right side
    3,135.36x = 4,443,885.70
  5. Step 5: Solve for x
    x = 4,443,885.70/3,135.36
  6. Step 6: Final answer
    x = 1,417.34

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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.