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Finding the Fourth Proportional to 3,145.02, 4,718.34 and 1,683.78

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Solution

The fourth proportional to 3,145.02, 4,718.34 and 1,683.78 is: 2,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.02 : 4,718.34 = 1,683.78 : x
  2. Step 2: Convert to fraction form
    3,145.02/4,718.34 = 1,683.78/x
  3. Step 3: Cross multiply
    3,145.02x = 4,718.34 × 1,683.78
  4. Step 4: Simplify right side
    3,145.02x = 7,944,646.53
  5. Step 5: Solve for x
    x = 7,944,646.53/3,145.02
  6. Step 6: Final answer
    x = 2,526.10

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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.