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Finding the Fourth Proportional to 1,795.76, 2,478.08 and 1,009.84

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Solution

The fourth proportional to 1,795.76, 2,478.08 and 1,009.84 is: 1,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.76 : 2,478.08 = 1,009.84 : x
  2. Step 2: Convert to fraction form
    1,795.76/2,478.08 = 1,009.84/x
  3. Step 3: Cross multiply
    1,795.76x = 2,478.08 × 1,009.84
  4. Step 4: Simplify right side
    1,795.76x = 2,502,464.31
  5. Step 5: Solve for x
    x = 2,502,464.31/1,795.76
  6. Step 6: Final answer
    x = 1,393.54

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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.