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Finding the Fourth Proportional to 2,259.87, 3,118.49 and 1,420.31

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Solution

The fourth proportional to 2,259.87, 3,118.49 and 1,420.31 is: 1,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.87 : 3,118.49 = 1,420.31 : x
  2. Step 2: Convert to fraction form
    2,259.87/3,118.49 = 1,420.31/x
  3. Step 3: Cross multiply
    2,259.87x = 3,118.49 × 1,420.31
  4. Step 4: Simplify right side
    2,259.87x = 4,429,199.84
  5. Step 5: Solve for x
    x = 4,429,199.84/2,259.87
  6. Step 6: Final answer
    x = 1,959.94

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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.