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Finding the Fourth Proportional to 2,036.18, 3,054.62 and 737.35

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Solution

The fourth proportional to 2,036.18, 3,054.62 and 737.35 is: 1,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.18 : 3,054.62 = 737.35 : x
  2. Step 2: Convert to fraction form
    2,036.18/3,054.62 = 737.35/x
  3. Step 3: Cross multiply
    2,036.18x = 3,054.62 × 737.35
  4. Step 4: Simplify right side
    2,036.18x = 2,252,318.26
  5. Step 5: Solve for x
    x = 2,252,318.26/2,036.18
  6. Step 6: Final answer
    x = 1,106.15

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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.