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Finding the Fourth Proportional to 3,131.29, 4,696.98 and 1,488

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Solution

The fourth proportional to 3,131.29, 4,696.98 and 1,488 is: 2,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.29 : 4,696.98 = 1,488 : x
  2. Step 2: Convert to fraction form
    3,131.29/4,696.98 = 1,488/x
  3. Step 3: Cross multiply
    3,131.29x = 4,696.98 × 1,488
  4. Step 4: Simplify right side
    3,131.29x = 6,989,106.24
  5. Step 5: Solve for x
    x = 6,989,106.24/3,131.29
  6. Step 6: Final answer
    x = 2,232.02

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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.