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Finding the Fourth Proportional to 1,917.60, 2,648.10 and 1,527.48

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Solution

The fourth proportional to 1,917.60, 2,648.10 and 1,527.48 is: 2,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.60 : 2,648.10 = 1,527.48 : x
  2. Step 2: Convert to fraction form
    1,917.60/2,648.10 = 1,527.48/x
  3. Step 3: Cross multiply
    1,917.60x = 2,648.10 × 1,527.48
  4. Step 4: Simplify right side
    1,917.60x = 4,044,919.79
  5. Step 5: Solve for x
    x = 4,044,919.79/1,917.60
  6. Step 6: Final answer
    x = 2,109.37

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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.