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Finding the Fourth Proportional to 1,762.92, 2,644.65 and 896.76

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Solution

The fourth proportional to 1,762.92, 2,644.65 and 896.76 is: 1,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.92 : 2,644.65 = 896.76 : x
  2. Step 2: Convert to fraction form
    1,762.92/2,644.65 = 896.76/x
  3. Step 3: Cross multiply
    1,762.92x = 2,644.65 × 896.76
  4. Step 4: Simplify right side
    1,762.92x = 2,371,616.33
  5. Step 5: Solve for x
    x = 2,371,616.33/1,762.92
  6. Step 6: Final answer
    x = 1,345.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.