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Finding the Fourth Proportional to 2,178.01, 3,005.70 and 1,293.81

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Solution

The fourth proportional to 2,178.01, 3,005.70 and 1,293.81 is: 1,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.01 : 3,005.70 = 1,293.81 : x
  2. Step 2: Convert to fraction form
    2,178.01/3,005.70 = 1,293.81/x
  3. Step 3: Cross multiply
    2,178.01x = 3,005.70 × 1,293.81
  4. Step 4: Simplify right side
    2,178.01x = 3,888,798.25
  5. Step 5: Solve for x
    x = 3,888,798.25/2,178.01
  6. Step 6: Final answer
    x = 1,785.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.