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Finding the Fourth Proportional to 2,701.29, 4,051.94 and 753.45

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Solution

The fourth proportional to 2,701.29, 4,051.94 and 753.45 is: 1,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.29 : 4,051.94 = 753.45 : x
  2. Step 2: Convert to fraction form
    2,701.29/4,051.94 = 753.45/x
  3. Step 3: Cross multiply
    2,701.29x = 4,051.94 × 753.45
  4. Step 4: Simplify right side
    2,701.29x = 3,052,934.19
  5. Step 5: Solve for x
    x = 3,052,934.19/2,701.29
  6. Step 6: Final answer
    x = 1,130.18

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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.