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Finding the Fourth Proportional to 3,315.80, 4,967.70 and 1,580.60

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Solution

The fourth proportional to 3,315.80, 4,967.70 and 1,580.60 is: 2,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.80 : 4,967.70 = 1,580.60 : x
  2. Step 2: Convert to fraction form
    3,315.80/4,967.70 = 1,580.60/x
  3. Step 3: Cross multiply
    3,315.80x = 4,967.70 × 1,580.60
  4. Step 4: Simplify right side
    3,315.80x = 7,851,946.62
  5. Step 5: Solve for x
    x = 7,851,946.62/3,315.80
  6. Step 6: Final answer
    x = 2,368.04

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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.