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Finding the Fourth Proportional to 1,647.87, 2,275.67 and 1,410.46

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Solution

The fourth proportional to 1,647.87, 2,275.67 and 1,410.46 is: 1,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.87 : 2,275.67 = 1,410.46 : x
  2. Step 2: Convert to fraction form
    1,647.87/2,275.67 = 1,410.46/x
  3. Step 3: Cross multiply
    1,647.87x = 2,275.67 × 1,410.46
  4. Step 4: Simplify right side
    1,647.87x = 3,209,748.18
  5. Step 5: Solve for x
    x = 3,209,748.18/1,647.87
  6. Step 6: Final answer
    x = 1,947.82

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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.