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Finding the Fourth Proportional to 2,130.04, 3,193.86 and 668.92

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Solution

The fourth proportional to 2,130.04, 3,193.86 and 668.92 is: 1,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.04 : 3,193.86 = 668.92 : x
  2. Step 2: Convert to fraction form
    2,130.04/3,193.86 = 668.92/x
  3. Step 3: Cross multiply
    2,130.04x = 3,193.86 × 668.92
  4. Step 4: Simplify right side
    2,130.04x = 2,136,436.83
  5. Step 5: Solve for x
    x = 2,136,436.83/2,130.04
  6. Step 6: Final answer
    x = 1,003.00

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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.