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Finding the Fourth Proportional to 1,572.76, 2,168.40 and 1,214.20

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Solution

The fourth proportional to 1,572.76, 2,168.40 and 1,214.20 is: 1,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.76 : 2,168.40 = 1,214.20 : x
  2. Step 2: Convert to fraction form
    1,572.76/2,168.40 = 1,214.20/x
  3. Step 3: Cross multiply
    1,572.76x = 2,168.40 × 1,214.20
  4. Step 4: Simplify right side
    1,572.76x = 2,632,871.28
  5. Step 5: Solve for x
    x = 2,632,871.28/1,572.76
  6. Step 6: Final answer
    x = 1,674.05

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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.