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Finding the Fourth Proportional to 2,956.13, 4,434.20 and 904.13

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Solution

The fourth proportional to 2,956.13, 4,434.20 and 904.13 is: 1,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.13 : 4,434.20 = 904.13 : x
  2. Step 2: Convert to fraction form
    2,956.13/4,434.20 = 904.13/x
  3. Step 3: Cross multiply
    2,956.13x = 4,434.20 × 904.13
  4. Step 4: Simplify right side
    2,956.13x = 4,009,093.25
  5. Step 5: Solve for x
    x = 4,009,093.25/2,956.13
  6. Step 6: Final answer
    x = 1,356.20

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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.