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Finding the Fourth Proportional to 1,655.72, 2,285 and 1,095.22

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Solution

The fourth proportional to 1,655.72, 2,285 and 1,095.22 is: 1,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.72 : 2,285 = 1,095.22 : x
  2. Step 2: Convert to fraction form
    1,655.72/2,285 = 1,095.22/x
  3. Step 3: Cross multiply
    1,655.72x = 2,285 × 1,095.22
  4. Step 4: Simplify right side
    1,655.72x = 2,502,577.70
  5. Step 5: Solve for x
    x = 2,502,577.70/1,655.72
  6. Step 6: Final answer
    x = 1,511.47

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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.