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Finding the Fourth Proportional to 1,656.22, 2,285.63 and 910.14

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Solution

The fourth proportional to 1,656.22, 2,285.63 and 910.14 is: 1,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.22 : 2,285.63 = 910.14 : x
  2. Step 2: Convert to fraction form
    1,656.22/2,285.63 = 910.14/x
  3. Step 3: Cross multiply
    1,656.22x = 2,285.63 × 910.14
  4. Step 4: Simplify right side
    1,656.22x = 2,080,243.29
  5. Step 5: Solve for x
    x = 2,080,243.29/1,656.22
  6. Step 6: Final answer
    x = 1,256.02

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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.