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Finding the Fourth Proportional to 2,010.07, 3,014 and 623.02

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Solution

The fourth proportional to 2,010.07, 3,014 and 623.02 is: 934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.07 : 3,014 = 623.02 : x
  2. Step 2: Convert to fraction form
    2,010.07/3,014 = 623.02/x
  3. Step 3: Cross multiply
    2,010.07x = 3,014 × 623.02
  4. Step 4: Simplify right side
    2,010.07x = 1,877,782.28
  5. Step 5: Solve for x
    x = 1,877,782.28/2,010.07
  6. Step 6: Final answer
    x = 934.19

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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.