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Finding the Fourth Proportional to 4,970.74, 7,455.65 and 1,683.45

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Solution

The fourth proportional to 4,970.74, 7,455.65 and 1,683.45 is: 2,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.74 : 7,455.65 = 1,683.45 : x
  2. Step 2: Convert to fraction form
    4,970.74/7,455.65 = 1,683.45/x
  3. Step 3: Cross multiply
    4,970.74x = 7,455.65 × 1,683.45
  4. Step 4: Simplify right side
    4,970.74x = 12,551,213.99
  5. Step 5: Solve for x
    x = 12,551,213.99/4,970.74
  6. Step 6: Final answer
    x = 2,525.02

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