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Finding the Fourth Proportional to 2,333.56, 3,497.28 and 2,006.72

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Solution

The fourth proportional to 2,333.56, 3,497.28 and 2,006.72 is: 3,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.56 : 3,497.28 = 2,006.72 : x
  2. Step 2: Convert to fraction form
    2,333.56/3,497.28 = 2,006.72/x
  3. Step 3: Cross multiply
    2,333.56x = 3,497.28 × 2,006.72
  4. Step 4: Simplify right side
    2,333.56x = 7,018,061.72
  5. Step 5: Solve for x
    x = 7,018,061.72/2,333.56
  6. Step 6: Final answer
    x = 3,007.45

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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.