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Finding the Fourth Proportional to 1,642.46, 2,266.65 and 896.47

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Solution

The fourth proportional to 1,642.46, 2,266.65 and 896.47 is: 1,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.46 : 2,266.65 = 896.47 : x
  2. Step 2: Convert to fraction form
    1,642.46/2,266.65 = 896.47/x
  3. Step 3: Cross multiply
    1,642.46x = 2,266.65 × 896.47
  4. Step 4: Simplify right side
    1,642.46x = 2,031,981.48
  5. Step 5: Solve for x
    x = 2,031,981.48/1,642.46
  6. Step 6: Final answer
    x = 1,237.16

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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.