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Finding the Fourth Proportional to 2,172.80, 3,259.80 and 875.18

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Solution

The fourth proportional to 2,172.80, 3,259.80 and 875.18 is: 1,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.80 : 3,259.80 = 875.18 : x
  2. Step 2: Convert to fraction form
    2,172.80/3,259.80 = 875.18/x
  3. Step 3: Cross multiply
    2,172.80x = 3,259.80 × 875.18
  4. Step 4: Simplify right side
    2,172.80x = 2,852,911.76
  5. Step 5: Solve for x
    x = 2,852,911.76/2,172.80
  6. Step 6: Final answer
    x = 1,313.01

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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.