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Finding the Fourth Proportional to 1,919.79, 2,881.69 and 1,701.81

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Solution

The fourth proportional to 1,919.79, 2,881.69 and 1,701.81 is: 2,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.79 : 2,881.69 = 1,701.81 : x
  2. Step 2: Convert to fraction form
    1,919.79/2,881.69 = 1,701.81/x
  3. Step 3: Cross multiply
    1,919.79x = 2,881.69 × 1,701.81
  4. Step 4: Simplify right side
    1,919.79x = 4,904,088.86
  5. Step 5: Solve for x
    x = 4,904,088.86/1,919.79
  6. Step 6: Final answer
    x = 2,554.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.