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Finding the Fourth Proportional to 2,052.98, 3,078.65 and 753.74

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Solution

The fourth proportional to 2,052.98, 3,078.65 and 753.74 is: 1,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.98 : 3,078.65 = 753.74 : x
  2. Step 2: Convert to fraction form
    2,052.98/3,078.65 = 753.74/x
  3. Step 3: Cross multiply
    2,052.98x = 3,078.65 × 753.74
  4. Step 4: Simplify right side
    2,052.98x = 2,320,501.65
  5. Step 5: Solve for x
    x = 2,320,501.65/2,052.98
  6. Step 6: Final answer
    x = 1,130.31

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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.