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Finding the Fourth Proportional to 2,901.07, 4,352.15 and 954.64

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Solution

The fourth proportional to 2,901.07, 4,352.15 and 954.64 is: 1,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.07 : 4,352.15 = 954.64 : x
  2. Step 2: Convert to fraction form
    2,901.07/4,352.15 = 954.64/x
  3. Step 3: Cross multiply
    2,901.07x = 4,352.15 × 954.64
  4. Step 4: Simplify right side
    2,901.07x = 4,154,736.48
  5. Step 5: Solve for x
    x = 4,154,736.48/2,901.07
  6. Step 6: Final answer
    x = 1,432.14

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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.