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Finding the Fourth Proportional to 1,795.60, 2,478 and 1,009.68

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Solution

The fourth proportional to 1,795.60, 2,478 and 1,009.68 is: 1,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.60 : 2,478 = 1,009.68 : x
  2. Step 2: Convert to fraction form
    1,795.60/2,478 = 1,009.68/x
  3. Step 3: Cross multiply
    1,795.60x = 2,478 × 1,009.68
  4. Step 4: Simplify right side
    1,795.60x = 2,501,987.04
  5. Step 5: Solve for x
    x = 2,501,987.04/1,795.60
  6. Step 6: Final answer
    x = 1,393.40

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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.