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Finding the Fourth Proportional to 2,948.67, 4,423 and 757.40

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Solution

The fourth proportional to 2,948.67, 4,423 and 757.40 is: 1,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.67 : 4,423 = 757.40 : x
  2. Step 2: Convert to fraction form
    2,948.67/4,423 = 757.40/x
  3. Step 3: Cross multiply
    2,948.67x = 4,423 × 757.40
  4. Step 4: Simplify right side
    2,948.67x = 3,349,980.20
  5. Step 5: Solve for x
    x = 3,349,980.20/2,948.67
  6. Step 6: Final answer
    x = 1,136.10

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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.