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Finding the Fourth Proportional to 2,333.12, 3,499.68 and 601.72

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Solution

The fourth proportional to 2,333.12, 3,499.68 and 601.72 is: 902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.12 : 3,499.68 = 601.72 : x
  2. Step 2: Convert to fraction form
    2,333.12/3,499.68 = 601.72/x
  3. Step 3: Cross multiply
    2,333.12x = 3,499.68 × 601.72
  4. Step 4: Simplify right side
    2,333.12x = 2,105,827.45
  5. Step 5: Solve for x
    x = 2,105,827.45/2,333.12
  6. Step 6: Final answer
    x = 902.58

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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.