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Finding the Fourth Proportional to 2,390.04, 3,584.90 and 746.72

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Solution

The fourth proportional to 2,390.04, 3,584.90 and 746.72 is: 1,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.04 : 3,584.90 = 746.72 : x
  2. Step 2: Convert to fraction form
    2,390.04/3,584.90 = 746.72/x
  3. Step 3: Cross multiply
    2,390.04x = 3,584.90 × 746.72
  4. Step 4: Simplify right side
    2,390.04x = 2,676,916.53
  5. Step 5: Solve for x
    x = 2,676,916.53/2,390.04
  6. Step 6: Final answer
    x = 1,120.03

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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.