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Finding the Fourth Proportional to 1,872.87, 2,583.55 and 1,430

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Solution

The fourth proportional to 1,872.87, 2,583.55 and 1,430 is: 1,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.87 : 2,583.55 = 1,430 : x
  2. Step 2: Convert to fraction form
    1,872.87/2,583.55 = 1,430/x
  3. Step 3: Cross multiply
    1,872.87x = 2,583.55 × 1,430
  4. Step 4: Simplify right side
    1,872.87x = 3,694,476.50
  5. Step 5: Solve for x
    x = 3,694,476.50/1,872.87
  6. Step 6: Final answer
    x = 1,972.63

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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.