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Finding the Fourth Proportional to 2,008.89, 3,012.93 and 710.06

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Solution

The fourth proportional to 2,008.89, 3,012.93 and 710.06 is: 1,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.89 : 3,012.93 = 710.06 : x
  2. Step 2: Convert to fraction form
    2,008.89/3,012.93 = 710.06/x
  3. Step 3: Cross multiply
    2,008.89x = 3,012.93 × 710.06
  4. Step 4: Simplify right side
    2,008.89x = 2,139,346.01
  5. Step 5: Solve for x
    x = 2,139,346.01/2,008.89
  6. Step 6: Final answer
    x = 1,064.94

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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.