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Finding the Fourth Proportional to 1,471.96, 2,036.46 and 1,417.96

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Solution

The fourth proportional to 1,471.96, 2,036.46 and 1,417.96 is: 1,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.96 : 2,036.46 = 1,417.96 : x
  2. Step 2: Convert to fraction form
    1,471.96/2,036.46 = 1,417.96/x
  3. Step 3: Cross multiply
    1,471.96x = 2,036.46 × 1,417.96
  4. Step 4: Simplify right side
    1,471.96x = 2,887,618.82
  5. Step 5: Solve for x
    x = 2,887,618.82/1,471.96
  6. Step 6: Final answer
    x = 1,961.75

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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.