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Finding the Fourth Proportional to 2,045.71, 2,822.22 and 1,259.30

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Solution

The fourth proportional to 2,045.71, 2,822.22 and 1,259.30 is: 1,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.71 : 2,822.22 = 1,259.30 : x
  2. Step 2: Convert to fraction form
    2,045.71/2,822.22 = 1,259.30/x
  3. Step 3: Cross multiply
    2,045.71x = 2,822.22 × 1,259.30
  4. Step 4: Simplify right side
    2,045.71x = 3,554,009.28
  5. Step 5: Solve for x
    x = 3,554,009.28/2,045.71
  6. Step 6: Final answer
    x = 1,737.30

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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.