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Finding the Fourth Proportional to 2,010.29, 3,015.56 and 623.63

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Solution

The fourth proportional to 2,010.29, 3,015.56 and 623.63 is: 935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.29 : 3,015.56 = 623.63 : x
  2. Step 2: Convert to fraction form
    2,010.29/3,015.56 = 623.63/x
  3. Step 3: Cross multiply
    2,010.29x = 3,015.56 × 623.63
  4. Step 4: Simplify right side
    2,010.29x = 1,880,602.78
  5. Step 5: Solve for x
    x = 1,880,602.78/2,010.29
  6. Step 6: Final answer
    x = 935.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.