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Finding the Fourth Proportional to 1,508.84, 2,075.46 and 1,410.41

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Solution

The fourth proportional to 1,508.84, 2,075.46 and 1,410.41 is: 1,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.84 : 2,075.46 = 1,410.41 : x
  2. Step 2: Convert to fraction form
    1,508.84/2,075.46 = 1,410.41/x
  3. Step 3: Cross multiply
    1,508.84x = 2,075.46 × 1,410.41
  4. Step 4: Simplify right side
    1,508.84x = 2,927,249.54
  5. Step 5: Solve for x
    x = 2,927,249.54/1,508.84
  6. Step 6: Final answer
    x = 1,940.07

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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.