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Finding the Fourth Proportional to 1,560, 2,152.26 and 896.38

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Solution

The fourth proportional to 1,560, 2,152.26 and 896.38 is: 1,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560 : 2,152.26 = 896.38 : x
  2. Step 2: Convert to fraction form
    1,560/2,152.26 = 896.38/x
  3. Step 3: Cross multiply
    1,560x = 2,152.26 × 896.38
  4. Step 4: Simplify right side
    1,560x = 1,929,242.82
  5. Step 5: Solve for x
    x = 1,929,242.82/1,560
  6. Step 6: Final answer
    x = 1,236.69

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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.