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Finding the Fourth Proportional to 2,009.69, 3,014.06 and 623.03

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Solution

The fourth proportional to 2,009.69, 3,014.06 and 623.03 is: 934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.69 : 3,014.06 = 623.03 : x
  2. Step 2: Convert to fraction form
    2,009.69/3,014.06 = 623.03/x
  3. Step 3: Cross multiply
    2,009.69x = 3,014.06 × 623.03
  4. Step 4: Simplify right side
    2,009.69x = 1,877,854.22
  5. Step 5: Solve for x
    x = 1,877,854.22/2,009.69
  6. Step 6: Final answer
    x = 934.40

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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.