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Finding the Fourth Proportional to 1,501.66, 2,251.88 and 623.56

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Solution

The fourth proportional to 1,501.66, 2,251.88 and 623.56 is: 935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.66 : 2,251.88 = 623.56 : x
  2. Step 2: Convert to fraction form
    1,501.66/2,251.88 = 623.56/x
  3. Step 3: Cross multiply
    1,501.66x = 2,251.88 × 623.56
  4. Step 4: Simplify right side
    1,501.66x = 1,404,180.11
  5. Step 5: Solve for x
    x = 1,404,180.11/1,501.66
  6. Step 6: Final answer
    x = 935.09

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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.