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Finding the Fourth Proportional to 3,130.90, 4,696.35 and 1,669.30

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Solution

The fourth proportional to 3,130.90, 4,696.35 and 1,669.30 is: 2,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.90 : 4,696.35 = 1,669.30 : x
  2. Step 2: Convert to fraction form
    3,130.90/4,696.35 = 1,669.30/x
  3. Step 3: Cross multiply
    3,130.90x = 4,696.35 × 1,669.30
  4. Step 4: Simplify right side
    3,130.90x = 7,839,617.06
  5. Step 5: Solve for x
    x = 7,839,617.06/3,130.90
  6. Step 6: Final answer
    x = 2,503.95

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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.