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Finding the Fourth Proportional to 3,143.84, 4,338.32 and 1,746.50

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Solution

The fourth proportional to 3,143.84, 4,338.32 and 1,746.50 is: 2,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.84 : 4,338.32 = 1,746.50 : x
  2. Step 2: Convert to fraction form
    3,143.84/4,338.32 = 1,746.50/x
  3. Step 3: Cross multiply
    3,143.84x = 4,338.32 × 1,746.50
  4. Step 4: Simplify right side
    3,143.84x = 7,576,875.88
  5. Step 5: Solve for x
    x = 7,576,875.88/3,143.84
  6. Step 6: Final answer
    x = 2,410.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.