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Finding the Fourth Proportional to 1,574.06, 2,355.48 and 1,480.64

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Solution

The fourth proportional to 1,574.06, 2,355.48 and 1,480.64 is: 2,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.06 : 2,355.48 = 1,480.64 : x
  2. Step 2: Convert to fraction form
    1,574.06/2,355.48 = 1,480.64/x
  3. Step 3: Cross multiply
    1,574.06x = 2,355.48 × 1,480.64
  4. Step 4: Simplify right side
    1,574.06x = 3,487,606.13
  5. Step 5: Solve for x
    x = 3,487,606.13/1,574.06
  6. Step 6: Final answer
    x = 2,215.68

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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.