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Finding the Fourth Proportional to 2,010.14, 3,014.13 and 623.06

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Solution

The fourth proportional to 2,010.14, 3,014.13 and 623.06 is: 934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.14 : 3,014.13 = 623.06 : x
  2. Step 2: Convert to fraction form
    2,010.14/3,014.13 = 623.06/x
  3. Step 3: Cross multiply
    2,010.14x = 3,014.13 × 623.06
  4. Step 4: Simplify right side
    2,010.14x = 1,877,983.84
  5. Step 5: Solve for x
    x = 1,877,983.84/2,010.14
  6. Step 6: Final answer
    x = 934.26

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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.