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Finding the Fourth Proportional to 2,860.65, 3,948.21 and 1,665.54

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Solution

The fourth proportional to 2,860.65, 3,948.21 and 1,665.54 is: 2,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.65 : 3,948.21 = 1,665.54 : x
  2. Step 2: Convert to fraction form
    2,860.65/3,948.21 = 1,665.54/x
  3. Step 3: Cross multiply
    2,860.65x = 3,948.21 × 1,665.54
  4. Step 4: Simplify right side
    2,860.65x = 6,575,901.68
  5. Step 5: Solve for x
    x = 6,575,901.68/2,860.65
  6. Step 6: Final answer
    x = 2,298.74

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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.