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Finding the Fourth Proportional to 2,006.51, 2,770.35 and 1,309.10

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Solution

The fourth proportional to 2,006.51, 2,770.35 and 1,309.10 is: 1,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.51 : 2,770.35 = 1,309.10 : x
  2. Step 2: Convert to fraction form
    2,006.51/2,770.35 = 1,309.10/x
  3. Step 3: Cross multiply
    2,006.51x = 2,770.35 × 1,309.10
  4. Step 4: Simplify right side
    2,006.51x = 3,626,665.19
  5. Step 5: Solve for x
    x = 3,626,665.19/2,006.51
  6. Step 6: Final answer
    x = 1,807.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.