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Finding the Fourth Proportional to 2,901.92, 4,353.08 and 953.46

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Solution

The fourth proportional to 2,901.92, 4,353.08 and 953.46 is: 1,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.92 : 4,353.08 = 953.46 : x
  2. Step 2: Convert to fraction form
    2,901.92/4,353.08 = 953.46/x
  3. Step 3: Cross multiply
    2,901.92x = 4,353.08 × 953.46
  4. Step 4: Simplify right side
    2,901.92x = 4,150,482.89
  5. Step 5: Solve for x
    x = 4,150,482.89/2,901.92
  6. Step 6: Final answer
    x = 1,430.26

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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.