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Finding the Fourth Proportional to 2,403.98, 3,606.16 and 760.62

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Solution

The fourth proportional to 2,403.98, 3,606.16 and 760.62 is: 1,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.98 : 3,606.16 = 760.62 : x
  2. Step 2: Convert to fraction form
    2,403.98/3,606.16 = 760.62/x
  3. Step 3: Cross multiply
    2,403.98x = 3,606.16 × 760.62
  4. Step 4: Simplify right side
    2,403.98x = 2,742,917.42
  5. Step 5: Solve for x
    x = 2,742,917.42/2,403.98
  6. Step 6: Final answer
    x = 1,140.99

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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.