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Finding the Fourth Proportional to 2,003.56, 3,005.40 and 705.40

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Solution

The fourth proportional to 2,003.56, 3,005.40 and 705.40 is: 1,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.56 : 3,005.40 = 705.40 : x
  2. Step 2: Convert to fraction form
    2,003.56/3,005.40 = 705.40/x
  3. Step 3: Cross multiply
    2,003.56x = 3,005.40 × 705.40
  4. Step 4: Simplify right side
    2,003.56x = 2,120,009.16
  5. Step 5: Solve for x
    x = 2,120,009.16/2,003.56
  6. Step 6: Final answer
    x = 1,058.12

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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.