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Finding the Fourth Proportional to 2,653.38, 3,980.08 and 705.60

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Solution

The fourth proportional to 2,653.38, 3,980.08 and 705.60 is: 1,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.38 : 3,980.08 = 705.60 : x
  2. Step 2: Convert to fraction form
    2,653.38/3,980.08 = 705.60/x
  3. Step 3: Cross multiply
    2,653.38x = 3,980.08 × 705.60
  4. Step 4: Simplify right side
    2,653.38x = 2,808,344.45
  5. Step 5: Solve for x
    x = 2,808,344.45/2,653.38
  6. Step 6: Final answer
    x = 1,058.40

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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.