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Finding the Fourth Proportional to 2,880.40, 4,314.52 and 2,394.40

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Solution

The fourth proportional to 2,880.40, 4,314.52 and 2,394.40 is: 3,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.40 : 4,314.52 = 2,394.40 : x
  2. Step 2: Convert to fraction form
    2,880.40/4,314.52 = 2,394.40/x
  3. Step 3: Cross multiply
    2,880.40x = 4,314.52 × 2,394.40
  4. Step 4: Simplify right side
    2,880.40x = 10,330,686.69
  5. Step 5: Solve for x
    x = 10,330,686.69/2,880.40
  6. Step 6: Final answer
    x = 3,586.55

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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.