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Finding the Fourth Proportional to 2,880.32, 3,973.20 and 1,830.56

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Solution

The fourth proportional to 2,880.32, 3,973.20 and 1,830.56 is: 2,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.32 : 3,973.20 = 1,830.56 : x
  2. Step 2: Convert to fraction form
    2,880.32/3,973.20 = 1,830.56/x
  3. Step 3: Cross multiply
    2,880.32x = 3,973.20 × 1,830.56
  4. Step 4: Simplify right side
    2,880.32x = 7,273,180.99
  5. Step 5: Solve for x
    x = 7,273,180.99/2,880.32
  6. Step 6: Final answer
    x = 2,525.13

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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.