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Finding the Fourth Proportional to 2,460.65, 3,688.52 and 2,023.25

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Solution

The fourth proportional to 2,460.65, 3,688.52 and 2,023.25 is: 3,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.65 : 3,688.52 = 2,023.25 : x
  2. Step 2: Convert to fraction form
    2,460.65/3,688.52 = 2,023.25/x
  3. Step 3: Cross multiply
    2,460.65x = 3,688.52 × 2,023.25
  4. Step 4: Simplify right side
    2,460.65x = 7,462,769.53
  5. Step 5: Solve for x
    x = 7,462,769.53/2,460.65
  6. Step 6: Final answer
    x = 3,032.85

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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.