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Finding the Fourth Proportional to 1,574.78, 2,349.87 and 1,410.80

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Solution

The fourth proportional to 1,574.78, 2,349.87 and 1,410.80 is: 2,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.78 : 2,349.87 = 1,410.80 : x
  2. Step 2: Convert to fraction form
    1,574.78/2,349.87 = 1,410.80/x
  3. Step 3: Cross multiply
    1,574.78x = 2,349.87 × 1,410.80
  4. Step 4: Simplify right side
    1,574.78x = 3,315,189.54
  5. Step 5: Solve for x
    x = 3,315,189.54/1,574.78
  6. Step 6: Final answer
    x = 2,105.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.