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Finding the Fourth Proportional to 4,968.99, 7,453.02 and 1,681.70

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Solution

The fourth proportional to 4,968.99, 7,453.02 and 1,681.70 is: 2,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.99 : 7,453.02 = 1,681.70 : x
  2. Step 2: Convert to fraction form
    4,968.99/7,453.02 = 1,681.70/x
  3. Step 3: Cross multiply
    4,968.99x = 7,453.02 × 1,681.70
  4. Step 4: Simplify right side
    4,968.99x = 12,533,768.67
  5. Step 5: Solve for x
    x = 12,533,768.67/4,968.99
  6. Step 6: Final answer
    x = 2,522.40

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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.