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Finding the Fourth Proportional to 2,280.60, 3,421.14 and 741.24

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Solution

The fourth proportional to 2,280.60, 3,421.14 and 741.24 is: 1,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.60 : 3,421.14 = 741.24 : x
  2. Step 2: Convert to fraction form
    2,280.60/3,421.14 = 741.24/x
  3. Step 3: Cross multiply
    2,280.60x = 3,421.14 × 741.24
  4. Step 4: Simplify right side
    2,280.60x = 2,535,885.81
  5. Step 5: Solve for x
    x = 2,535,885.81/2,280.60
  6. Step 6: Final answer
    x = 1,111.94

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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.