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Finding the Fourth Proportional to 1,656.33, 2,285.65 and 910.27

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Solution

The fourth proportional to 1,656.33, 2,285.65 and 910.27 is: 1,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.33 : 2,285.65 = 910.27 : x
  2. Step 2: Convert to fraction form
    1,656.33/2,285.65 = 910.27/x
  3. Step 3: Cross multiply
    1,656.33x = 2,285.65 × 910.27
  4. Step 4: Simplify right side
    1,656.33x = 2,080,558.63
  5. Step 5: Solve for x
    x = 2,080,558.63/1,656.33
  6. Step 6: Final answer
    x = 1,256.13

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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.