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Finding the Fourth Proportional to 1,467.98, 2,026.16 and 870.50

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Solution

The fourth proportional to 1,467.98, 2,026.16 and 870.50 is: 1,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.98 : 2,026.16 = 870.50 : x
  2. Step 2: Convert to fraction form
    1,467.98/2,026.16 = 870.50/x
  3. Step 3: Cross multiply
    1,467.98x = 2,026.16 × 870.50
  4. Step 4: Simplify right side
    1,467.98x = 1,763,772.28
  5. Step 5: Solve for x
    x = 1,763,772.28/1,467.98
  6. Step 6: Final answer
    x = 1,201.50

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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.