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Finding the Fourth Proportional to 3,123.16, 4,683.79 and 1,042.64

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Solution

The fourth proportional to 3,123.16, 4,683.79 and 1,042.64 is: 1,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.16 : 4,683.79 = 1,042.64 : x
  2. Step 2: Convert to fraction form
    3,123.16/4,683.79 = 1,042.64/x
  3. Step 3: Cross multiply
    3,123.16x = 4,683.79 × 1,042.64
  4. Step 4: Simplify right side
    3,123.16x = 4,883,502.25
  5. Step 5: Solve for x
    x = 4,883,502.25/3,123.16
  6. Step 6: Final answer
    x = 1,563.64

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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.