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Finding the Fourth Proportional to 2,703.68, 4,056.06 and 1,143.68

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Solution

The fourth proportional to 2,703.68, 4,056.06 and 1,143.68 is: 1,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.68 : 4,056.06 = 1,143.68 : x
  2. Step 2: Convert to fraction form
    2,703.68/4,056.06 = 1,143.68/x
  3. Step 3: Cross multiply
    2,703.68x = 4,056.06 × 1,143.68
  4. Step 4: Simplify right side
    2,703.68x = 4,638,829.63
  5. Step 5: Solve for x
    x = 4,638,829.63/2,703.68
  6. Step 6: Final answer
    x = 1,715.75

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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.