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Finding the Fourth Proportional to 3,033.59, 4,550.71 and 953.66

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Solution

The fourth proportional to 3,033.59, 4,550.71 and 953.66 is: 1,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.59 : 4,550.71 = 953.66 : x
  2. Step 2: Convert to fraction form
    3,033.59/4,550.71 = 953.66/x
  3. Step 3: Cross multiply
    3,033.59x = 4,550.71 × 953.66
  4. Step 4: Simplify right side
    3,033.59x = 4,339,830.10
  5. Step 5: Solve for x
    x = 4,339,830.10/3,033.59
  6. Step 6: Final answer
    x = 1,430.59

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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.