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Finding the Fourth Proportional to 2,653.79, 3,980.61 and 706.01

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Solution

The fourth proportional to 2,653.79, 3,980.61 and 706.01 is: 1,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.79 : 3,980.61 = 706.01 : x
  2. Step 2: Convert to fraction form
    2,653.79/3,980.61 = 706.01/x
  3. Step 3: Cross multiply
    2,653.79x = 3,980.61 × 706.01
  4. Step 4: Simplify right side
    2,653.79x = 2,810,330.56
  5. Step 5: Solve for x
    x = 2,810,330.56/2,653.79
  6. Step 6: Final answer
    x = 1,058.99

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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.