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Finding the Fourth Proportional to 2,901.32, 4,351.90 and 710.08

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Solution

The fourth proportional to 2,901.32, 4,351.90 and 710.08 is: 1,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.32 : 4,351.90 = 710.08 : x
  2. Step 2: Convert to fraction form
    2,901.32/4,351.90 = 710.08/x
  3. Step 3: Cross multiply
    2,901.32x = 4,351.90 × 710.08
  4. Step 4: Simplify right side
    2,901.32x = 3,090,197.15
  5. Step 5: Solve for x
    x = 3,090,197.15/2,901.32
  6. Step 6: Final answer
    x = 1,065.10

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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.