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Finding the Fourth Proportional to 2,901.49, 4,352.24 and 710.22

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Solution

The fourth proportional to 2,901.49, 4,352.24 and 710.22 is: 1,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.49 : 4,352.24 = 710.22 : x
  2. Step 2: Convert to fraction form
    2,901.49/4,352.24 = 710.22/x
  3. Step 3: Cross multiply
    2,901.49x = 4,352.24 × 710.22
  4. Step 4: Simplify right side
    2,901.49x = 3,091,047.89
  5. Step 5: Solve for x
    x = 3,091,047.89/2,901.49
  6. Step 6: Final answer
    x = 1,065.33

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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.