Home / 2,509.40-3,762.04-1,049.64

Finding the Fourth Proportional to 2,509.40, 3,762.04 and 1,049.64

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Solution

The fourth proportional to 2,509.40, 3,762.04 and 1,049.64 is: 1,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.40 : 3,762.04 = 1,049.64 : x
  2. Step 2: Convert to fraction form
    2,509.40/3,762.04 = 1,049.64/x
  3. Step 3: Cross multiply
    2,509.40x = 3,762.04 × 1,049.64
  4. Step 4: Simplify right side
    2,509.40x = 3,948,787.67
  5. Step 5: Solve for x
    x = 3,948,787.67/2,509.40
  6. Step 6: Final answer
    x = 1,573.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.