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Finding the Fourth Proportional to 1,560.15, 2,153.36 and 897.39

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Solution

The fourth proportional to 1,560.15, 2,153.36 and 897.39 is: 1,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.15 : 2,153.36 = 897.39 : x
  2. Step 2: Convert to fraction form
    1,560.15/2,153.36 = 897.39/x
  3. Step 3: Cross multiply
    1,560.15x = 2,153.36 × 897.39
  4. Step 4: Simplify right side
    1,560.15x = 1,932,405.97
  5. Step 5: Solve for x
    x = 1,932,405.97/1,560.15
  6. Step 6: Final answer
    x = 1,238.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.