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Finding the Fourth Proportional to 2,386.83, 3,581.16 and 927.01

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Solution

The fourth proportional to 2,386.83, 3,581.16 and 927.01 is: 1,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.83 : 3,581.16 = 927.01 : x
  2. Step 2: Convert to fraction form
    2,386.83/3,581.16 = 927.01/x
  3. Step 3: Cross multiply
    2,386.83x = 3,581.16 × 927.01
  4. Step 4: Simplify right side
    2,386.83x = 3,319,748.59
  5. Step 5: Solve for x
    x = 3,319,748.59/2,386.83
  6. Step 6: Final answer
    x = 1,390.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.