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Finding the Fourth Proportional to 1,671.60, 2,505.78 and 1,574.40

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Solution

The fourth proportional to 1,671.60, 2,505.78 and 1,574.40 is: 2,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.60 : 2,505.78 = 1,574.40 : x
  2. Step 2: Convert to fraction form
    1,671.60/2,505.78 = 1,574.40/x
  3. Step 3: Cross multiply
    1,671.60x = 2,505.78 × 1,574.40
  4. Step 4: Simplify right side
    1,671.60x = 3,945,100.03
  5. Step 5: Solve for x
    x = 3,945,100.03/1,671.60
  6. Step 6: Final answer
    x = 2,360.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.