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Finding the Fourth Proportional to 1,784.86, 2,678.30 and 963.11

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Solution

The fourth proportional to 1,784.86, 2,678.30 and 963.11 is: 1,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.86 : 2,678.30 = 963.11 : x
  2. Step 2: Convert to fraction form
    1,784.86/2,678.30 = 963.11/x
  3. Step 3: Cross multiply
    1,784.86x = 2,678.30 × 963.11
  4. Step 4: Simplify right side
    1,784.86x = 2,579,497.51
  5. Step 5: Solve for x
    x = 2,579,497.51/1,784.86
  6. Step 6: Final answer
    x = 1,445.21

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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.