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Finding the Fourth Proportional to 1,646.74, 2,272.48 and 900.68

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Solution

The fourth proportional to 1,646.74, 2,272.48 and 900.68 is: 1,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.74 : 2,272.48 = 900.68 : x
  2. Step 2: Convert to fraction form
    1,646.74/2,272.48 = 900.68/x
  3. Step 3: Cross multiply
    1,646.74x = 2,272.48 × 900.68
  4. Step 4: Simplify right side
    1,646.74x = 2,046,780.72
  5. Step 5: Solve for x
    x = 2,046,780.72/1,646.74
  6. Step 6: Final answer
    x = 1,242.93

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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.