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Finding the Fourth Proportional to 1,560.84, 2,152.42 and 1,324.52

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Solution

The fourth proportional to 1,560.84, 2,152.42 and 1,324.52 is: 1,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.84 : 2,152.42 = 1,324.52 : x
  2. Step 2: Convert to fraction form
    1,560.84/2,152.42 = 1,324.52/x
  3. Step 3: Cross multiply
    1,560.84x = 2,152.42 × 1,324.52
  4. Step 4: Simplify right side
    1,560.84x = 2,850,924.79
  5. Step 5: Solve for x
    x = 2,850,924.79/1,560.84
  6. Step 6: Final answer
    x = 1,826.54

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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.