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Finding the Fourth Proportional to 4,970.45, 7,455.17 and 1,683.50

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Solution

The fourth proportional to 4,970.45, 7,455.17 and 1,683.50 is: 2,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.45 : 7,455.17 = 1,683.50 : x
  2. Step 2: Convert to fraction form
    4,970.45/7,455.17 = 1,683.50/x
  3. Step 3: Cross multiply
    4,970.45x = 7,455.17 × 1,683.50
  4. Step 4: Simplify right side
    4,970.45x = 12,550,733.00
  5. Step 5: Solve for x
    x = 12,550,733.00/4,970.45
  6. Step 6: Final answer
    x = 2,525.07

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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.