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Finding the Fourth Proportional to 2,790.34, 4,185.13 and 710.16

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Solution

The fourth proportional to 2,790.34, 4,185.13 and 710.16 is: 1,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.34 : 4,185.13 = 710.16 : x
  2. Step 2: Convert to fraction form
    2,790.34/4,185.13 = 710.16/x
  3. Step 3: Cross multiply
    2,790.34x = 4,185.13 × 710.16
  4. Step 4: Simplify right side
    2,790.34x = 2,972,091.00
  5. Step 5: Solve for x
    x = 2,972,091.00/2,790.34
  6. Step 6: Final answer
    x = 1,065.14

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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.