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Finding the Fourth Proportional to 1,869.87, 2,580.63 and 1,403.31

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Solution

The fourth proportional to 1,869.87, 2,580.63 and 1,403.31 is: 1,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.87 : 2,580.63 = 1,403.31 : x
  2. Step 2: Convert to fraction form
    1,869.87/2,580.63 = 1,403.31/x
  3. Step 3: Cross multiply
    1,869.87x = 2,580.63 × 1,403.31
  4. Step 4: Simplify right side
    1,869.87x = 3,621,423.89
  5. Step 5: Solve for x
    x = 3,621,423.89/1,869.87
  6. Step 6: Final answer
    x = 1,936.72

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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.