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Finding the Fourth Proportional to 3,130.85, 4,696.13 and 1,281.51

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Solution

The fourth proportional to 3,130.85, 4,696.13 and 1,281.51 is: 1,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.85 : 4,696.13 = 1,281.51 : x
  2. Step 2: Convert to fraction form
    3,130.85/4,696.13 = 1,281.51/x
  3. Step 3: Cross multiply
    3,130.85x = 4,696.13 × 1,281.51
  4. Step 4: Simplify right side
    3,130.85x = 6,018,140.76
  5. Step 5: Solve for x
    x = 6,018,140.76/3,130.85
  6. Step 6: Final answer
    x = 1,922.21

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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.