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Finding the Fourth Proportional to 1,280.45, 1,919.00 and 1,248.25

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Solution

The fourth proportional to 1,280.45, 1,919.00 and 1,248.25 is: 1,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.45 : 1,919.00 = 1,248.25 : x
  2. Step 2: Convert to fraction form
    1,280.45/1,919.00 = 1,248.25/x
  3. Step 3: Cross multiply
    1,280.45x = 1,919.00 × 1,248.25
  4. Step 4: Simplify right side
    1,280.45x = 2,395,385.51
  5. Step 5: Solve for x
    x = 2,395,385.51/1,280.45
  6. Step 6: Final answer
    x = 1,870.74

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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.