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Finding the Fourth Proportional to 2,010.63, 3,014.82 and 623.58

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Solution

The fourth proportional to 2,010.63, 3,014.82 and 623.58 is: 935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.63 : 3,014.82 = 623.58 : x
  2. Step 2: Convert to fraction form
    2,010.63/3,014.82 = 623.58/x
  3. Step 3: Cross multiply
    2,010.63x = 3,014.82 × 623.58
  4. Step 4: Simplify right side
    2,010.63x = 1,879,981.46
  5. Step 5: Solve for x
    x = 1,879,981.46/2,010.63
  6. Step 6: Final answer
    x = 935.02

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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.