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Finding the Fourth Proportional to 1,783.89, 2,678.13 and 1,054.08

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Solution

The fourth proportional to 1,783.89, 2,678.13 and 1,054.08 is: 1,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.89 : 2,678.13 = 1,054.08 : x
  2. Step 2: Convert to fraction form
    1,783.89/2,678.13 = 1,054.08/x
  3. Step 3: Cross multiply
    1,783.89x = 2,678.13 × 1,054.08
  4. Step 4: Simplify right side
    1,783.89x = 2,822,963.27
  5. Step 5: Solve for x
    x = 2,822,963.27/1,783.89
  6. Step 6: Final answer
    x = 1,582.48

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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.